(C), 5 5, (B) 5, (C) (D), 20 20,
|
|
- Whitney Oliver
- 5 years ago
- Views:
Transcription
1 Reg. Pre-Calculus Multiple Choice. An epression is given. Evaluate it at the given value, (A) 0 (B) 9 9 (D) 0 (E). Simplif the epression. (A) (B) (D) (E) 0. Simplif the epression. (A) (B) (D) ( + ) (E). Simplif the epression. 9 9 (A) (B) (D) (E). Simplif the epression (A) (B) (D) 9 9. Simplif the epression. (A) (E) 9 9 (B) (D). Epress the function in the form f g. H A) f, g B) f, g C) f, g D) f, g st Semester Final Review. Epress the function in the form f gh. j (A) f, g, h (B) f, g, h f, g, h (D) f, g, h 9. Find the domain of g f, if f and. (A),, (B),,, (D), 0 0, g 0. Simplif the epression. 9 (A) (B) (D) (E) 9 9. Determine whether the given value is a solution of the equation., (A) es (B) no. Solve the equation. w w (A) (B) 9 (D) (E) 9 z. Solve the equation. z 9 (A) 9 (B) (D) (E) 0. Solve the equation. 0 (A) (B) (D) (E) 9. Solve the equation. (A) (B) (D) (E). Solve the equation. t t 0 (A) (B) (D) (E). Find all real solutions of the equation. 0 (A) none of these, (D) (B), (E),,
2 . Find all real solutions of the equation. (A), 0 (B) 0 (D) 0, (E) 9. Solve the linear inequalit. Epress the solution using interval notation. A), B), C), 0 D), E), 0. Solve the nonlinear inequalit. Epress the solution using interval notation. 0,,,, A) B) C), D), E),,. Solve the nonlinear inequalit. Epress the solution using interval notation., 9,,, A) B) C),, D),, E),,. Solve the inequalit. Epress the solution using interval notation. 0 A), B), C), D), E),. Solve the inequalit. Epress the solution using interval notation. 9 A) [, ) B) [, ) C) [, ) D) [, ) E) [, ). Solve the inequalit. Epress the answer using interval notation. 9 A) B) [, ] C), D),, E),,. A set of real numbers is graphed) Find an inequalit involving an absolute value that describes the set. A) B) C) D) E). Solve the nonlinear inequalit. Epress the solution using interval notation and graph the solution set. A), 0, B),, 0 C),, D) 0,,. Evaluate the function f at f(). A) f() = B) f() = C) f() = D) f() = E) f() = 0. Evaluate the function f at f (). A) f() =. B) f() =. C) f() =. D) f() =. E) f() = 9. Find the domain of the following function: 9 f A) (-, ) B) [0, ) C) (0, ) D) [, ) E) (-, ] 0. What is the domain and range of the function that is graphed below? (A) Domain: (, ), Range: [, ] (B) Domain: (-, ), Range: [, ] Domain: [, ], Range: [, ] (D) Domain: [, ], Range: (-, ) (E) Domain: [, ], Range: [, ]. What is the average rate of change of the function f between = 0 and =? A) B) C) D) E). What is the average rate of change of the function f between = 0 and =? A) B) C) 0 D) E). The graph of the function is sketched as follows: Determine the interval on which the function is increasing. A) (, ) B) (, ) C) (, ) D) (, ) E) (, ). How man units must we shift the graph of f to obtain the graph of f? A) left B) left C) right D) right E) left. The graph of a function is given as follows: - - -
3 Determine the average rate of change for the function between the indicated values of the variable. A) B) C) D). The graph of a function is sketched as follows: 0 Determine the average rate of change of the function between the indicated values. A) B) C) - D) E) -. The table shows the number of CD plaers sold in a small electronics store in the ears as follows: Year CD plaers sold What was the average rate of change of sales between 99 and 999? (A) 0 CD plaers/ear (B) 9 CD plaers/ear 0 CD plaers/ear (D) CD plaers/ear (E). CD plaers/ear. Suppose the graph of f is given. Describe how the graph of the function can be obtained from the graph of f. f (A) Shift the graph of f to the right units, stretch verticall b a factor of, and then shift downward units. (B) Shift the graph of f to the left units, stretch verticall b a factor of, and then shift downward units. Shift the graph of f to the right units, stretch verticall b a factor of, and then shift downward units. (D) Shift the graph of f to the left units, stretch verticall b a factor of, and then shift upward units. (E) Shift the graph of f to the left units, stretch verticall b a factor of, and then shift downward units. Short Answer 9. Perform the addition and simplif. 0. Perform the subtraction and simplif. 0. Find the length in the figure, if the shaded area is 9 in.. Perform the multiplication and simplif. 0. Determine whether the given value is a solution of the equation. 0 (A) = (B) =. Solve the equation. t0 t. Solve the equation b factoring. 0. Solve the equation b completing the square. Find all real solutions of the equation... Simplif ab 0t 9. Simplif 0s
4 0. Simplif:. Simplif: Multipl: 0. Multipl: 9. Factor: 0m m 0m 9. Factor:. Factor: 0. Factor:. Factor: 9. Multipl: 0. Simplif each radical and combine if possible:. Simplif each radical and combine if possible: 0 0. Simplif each radical and combine if possible:. Rationalize and simplif: 0. Rationalize and simplif:. Simplif:. Simplif:. Simplif: 9. If f, determine the graph of w? 9. Find the domain of the function. g 0. Sketch the graph of the piecewise defined function. if f if if. Sketch the graph of the piecewise defined function. if f if. A man is running around a circular track 00 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the table. Time (s) Distance (m) (a) What was the man's average speed (rate) between s and s? Please round our answer to the nearest hundredth. (b) What was the man's average speed (rate) between 0 s and 9 s? Please round our answer to the nearest hundredth. For the following, graph, determine the domain and range, and determine where the graph is increasing.. f. f. f.. f 9. f f. f 0. Determine where the function is increasing.. A function is given. Determine the average rate of change of the function between the values of the variable. g ; 0, h. Evaluate the following piecewise defined function at f, f, and f. f if if. Find the domain of the function. h
5 . The graph of g is given. Sketch the graph of the g function.. In a certain countr, income ta T is assessed according to the following function of income. 0 if 0 0, 000 T 0. if 0, 000 0, 000, if 0, 000 (A) Find T(,000). (B) Find T(,000). Find T(0,000).. Assume f is a one-to-one function. If f, find f.. Use f and g to evaluate f g.. Find the inverse function of f Find the inverse function of f. 90. Use the given graphs of f and g to evaluate the epression. (A) g f 9. Use f and g (B) g g to evaluate the epression. (A) f f (B) g g 9. Determine the equation of the piece-wise function. 9. Graph the following function:, f,, 9. Identif the value of sin - (.) (in degrees) 9. =, find ref 9. =, find ref 9. =, ref =? 9. Convert 0 into radians 99. Convert into radians 00. Convert into degrees 0. Convert into degrees 9 0. sin and terminates in Quadrant III, tan =? 0. sec and terminates in Quadrant IV, find csc 0. cos and terminates in Quadrant I, find cot 0. If the terminal side of passes through (, ), find tan. 0. If tan in Quadrant III, find csc 0. Which functions are positive in Quadrant I? 0. Which trigonometric functions are positive in Quadrant II? 09. Which trigonometric functions are positive in Quadrant IV? 0. csc is positive in Quadrants? Find:. tan. sec. sin. cos. cos 9. cos sin π. csc 0. cos sin. sec. cos sin. cos. sec csc
6 . Graph tan. Graph cos 0. Graph cos0. Graph sin 0. What is the amplitude of the following graph What is the horizontal shift if the graph is a sine curve? A cosine curve? Give the equation of the following curve Identif the period of cos 0. What transformation were performed on cos. Identif the equation of a sinusoid whose period is 0, whose vertical shift is, whose amplitude is, and whose horizontal shift for sin is 00.. Identif the equation of a sinusoid whose period is 0, whose vertical shift is, whose amplitude is, and whose horizontal shift for sin is.. Identif the range of cos sec 0. Identif the period of. Identif the vertical shift of cos. Identif the horizontal shift of 9sin 00 sin cos. Simplif tan 9. Show that csc sin cot cos csc 0. Prove cot csc cos. Simplif cos sin tan. Simplif cos csc cot cos cot sin. Simplif cos. Simplif cos sin tan. sin. sec9. Given with sin A with A and sin B with B, use identities to find eact values for a. cos A b. tanb c. sin A B d. cos A B. Determine a positive and negative coterminal angle to.
7 Answer Section ) A ) B ) B ) A ) C ) C ) B ) A 9) A 0) D ) A ) D ) E ) A ) E ) C ) D ) E 9) B 0) D ) C 9) 0) ) in. ) ) = is not a solution; = is a solution ) t ), ), ), ) a b t 9) s 0) ).... ) 0 ) m 0m m ) ) 9 ) ) ) 9) 0 0) 0 ) ) ) 0 ) ) ) E ) D ) D ) A ) B ) C ) E ) 9 ) ) 9) (-, ] 0) ) ) A) 00 ) ) B) ) A 0) C ) C ) A ) D ) B ) D D: (-, ) R: [-, ) Inc: (0, ) ) C ) D ) E
8 ) - ) ) D: (-, ) (, ) R: (-, 0) (0, ) Inc: none D: (-, ] R: (-, 0] Inc: (-, ) D: (-, ) R: (-, -] Inc: (-, ) 0) (-, ) ) h ) f, f, f 0 ), ) ) ) D: (-, ) R: (-, ) Inc: (-, ) D: (-, ) (, ) R:(, ) Inc: (-, ) ) (A) 0 (B) ) ) 9 ) f 9) f 90) A) B) 9) A) 9 B) 9) 0 f 0 9) D: (-, ) R: (-, ) Inc: (-, )
9 9) 0º 9) º 9) º 9) º 9) 99) 00).º 0) 0º ) 0) 0) 0) 0) 0) 0) All 0) sin, csc 09) cos, sec 0) I, II ) ) ) ) ) ) ) ) ) 9) 0) ) 0 ) ) ) ) ) º for sin; 0º for cos 9) cos or sin 0) 0º ) cos A: ; B: 0º; C: ; D: ) sin(( 00 )) ) sin(( )) ) [, ] ) º ) up ) 00º right ) cot 9) cos cot 0) csc cot ) sec ) sin ) csc ) sin ) ) ) a. 9 b. c. d. ) 9,
Honors Pre-Calculus. Multiple Choice 1. An expression is given. Evaluate it at the given value
Honors Pre-Calculus Multiple Choice. An epression is given. Evaluate it at the given value, (A) (B) 9 (C) 9 (D) (E). Simplif the epression. (A) + (B) (C) (D) (E) 7. Simplif the epression. (A) (B) (C) (D)
More informationLesson 10.2 Radian Measure and Arc Length
Lesson 10.1 Defining the Circular Functions 1. Find the eact value of each epression. a. sin 0 b. cos 5 c. sin 150 d. cos 5 e. sin(0 ) f. sin(10 ) g. sin 15 h. cos 0 i. sin(0 ) j. sin 90 k. sin 70 l. sin
More informationAlgebra II B Review 5
Algebra II B Review 5 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the measure of the angle below. y x 40 ο a. 135º b. 50º c. 310º d. 270º Sketch
More informationExercise Set 6.2: Double-Angle and Half-Angle Formulas
Exercise Set : Double-Angle and Half-Angle Formulas Answer the following π 1 (a Evaluate sin π (b Evaluate π π (c Is sin = (d Graph f ( x = sin ( x and g ( x = sin ( x on the same set of axes (e Is sin
More information4-3 Trigonometric Functions on the Unit Circle
Find the exact value of each trigonometric function, if defined. If not defined, write undefined. 9. sin The terminal side of in standard position lies on the positive y-axis. Choose a point P(0, 1) on
More informationTrigonometry 1st Semester Review Packet (#2) C) 3 D) 2
Trigonometry 1st Semester Review Packet (#) Name Find the exact value of the trigonometric function. Do not use a calculator. 1) sec A) B) D) ) tan - 5 A) -1 B) - 1 D) - Find the indicated trigonometric
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 4) cot! sec! sin! 4) 6) sin! cos! sec! csc!
Sem 1 Final Eam Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use basic identities to simplif the epression. 1) tan! sec! 1) 2) tan 2! csc 2!
More informationExam Review 2 nd Semester 6-1 Operations on Functions
NAME DATE PERIOD Exam Review 2 nd Semester 6-1 Operations on Functions Find (f + g)(x), (f g)(x), (f g)(x), and (x) for each f(x) and g(x). 1. f(x) = 8x 3; g(x) = 4x + 5 2. f(x) = + x 6; g(x) = x 2 If
More informationREVIEW, pages
REVIEW, pages 5 5.. Determine the value of each trigonometric ratio. Use eact values where possible; otherwise write the value to the nearest thousandth. a) tan (5 ) b) cos c) sec ( ) cos º cos ( ) cos
More informationName Please print your name as it appears on the class roster.
Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes
More informationTrigonometric Identities Exam Questions
Trigonometric Identities Exam Questions Name: ANSWERS January 01 January 017 Multiple Choice 1. Simplify the following expression: cos x 1 cot x a. sin x b. cos x c. cot x d. sec x. Identify a non-permissible
More information2.Draw each angle in standard position. Name the quadrant in which the angle lies. 2. Which point(s) lies on the unit circle? Explain how you know.
Chapter Review Section.1 Extra Practice 1.Draw each angle in standard position. In what quadrant does each angle lie? a) 1 b) 70 c) 110 d) 00.Draw each angle in standard position. Name the quadrant in
More informationPreCalculus First Semester Exam Review
PreCalculus First Semester Eam Review Name You may turn in this eam review for % bonus on your eam if all work is shown (correctly) and answers are correct. Please show work NEATLY and bo in or circle
More information(c) cos Arctan ( 3) ( ) PRECALCULUS ADVANCED REVIEW FOR FINAL FIRST SEMESTER
PRECALCULUS ADVANCED REVIEW FOR FINAL FIRST SEMESTER Work the following on notebook paper ecept for the graphs. Do not use our calculator unless the problem tells ou to use it. Give three decimal places
More informationAP Calculus (AB/BC) Prerequisite Packet Paint Branch High School Math Department
Updated 6/015 The problems in this packet are designed to help ou review topics from previous math courses that are important to our success in AP Calculus AB / BC. It is important that ou take time during
More informationMath Section 4.3 Unit Circle Trigonometry
Math 10 - Section 4. Unit Circle Trigonometry An angle is in standard position if its vertex is at the origin and its initial side is along the positive x axis. Positive angles are measured counterclockwise
More informationAFM Midterm Review I Fall Determine if the relation is a function. 1,6, 2. Determine the domain of the function. . x x
AFM Midterm Review I Fall 06. Determine if the relation is a function.,6,,, 5,. Determine the domain of the function 7 h ( ). 4. Sketch the graph of f 4. Sketch the graph of f 5. Sketch the graph of f
More informationName: Top Ten Things You ve Learned #10: Graphing Lines, Parabolas, and other Functions I. No Calculator: Sketch a graph of each equation
Name: #: Graphing Lines, Parabolas, and other Functions I. No Calculator: Sketch a graph of each equation... - - - - - -.. 6. - - - - - - 7. 8. 9. - - - - - - ... a f - - - - - - II. Use a graphing calculator
More informationC) ) cos (cos-1 0.4) 5) A) 0.4 B) 2.7 C) 0.9 D) 3.5 C) - 4 5
Precalculus B Name Please do NOT write on this packet. Put all work and answers on a separate piece of paper. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
More information1. For each of the following, state the domain and range and whether the given relation defines a function. b)
Eam Review Unit 0:. For each of the following, state the domain and range and whether the given relation defines a function. (,),(,),(,),(5,) a) { }. For each of the following, sketch the relation and
More informationDiagnostic Tests. (c) (sa sb )(sa sb ) Diagnostic Test: Algebra
Diagnostic Tests Success in calculus depends to a large etent on knowledge of the mathematics that precedes calculus: algebra, analtic geometr, functions, and trigonometr. The following tests are intended
More informationR3.6 Solving Linear Inequalities. 3) Solve: 2(x 4) - 3 > 3x ) Solve: 3(x 2) > 7-4x. R8.7 Rational Exponents
Level D Review Packet - MMT This packet briefly reviews the topics covered on the Level D Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below,
More informationHonors PreCalculus Final Exam Review Mr. Serianni
Honors PreCalculus Final Eam Review Mr. Serianni Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the angle to decimal degrees and round
More informationHonors Precalculus A. Semester Exam Review
Semester Eam Review Honors Precalculus A Semester Eam Review 015-016 MCPS 015 016 1 Semester Eam Review The semester A eamination for Honors Precalculus consists of two parts. Part 1 is selected response
More informationUnit 6: 10 3x 2. Semester 2 Final Review Name: Date: Advanced Algebra
Semester Final Review Name: Date: Advanced Algebra Unit 6: # : Find the inverse of: 0 ) f ( ) = ) f ( ) Finding Inverses, Graphing Radical Functions, Simplifying Radical Epressions, & Solving Radical Equations
More information3 a = b = Period: a = b = Period: Phase Shift: V. Shift: Phase shift: V. Shift:
Name: Semester One Eam Review Pre-Calculus I. Second Nine Weeks Graphing Trig Functions: sketch the graph of the function, identif the parts being asked. 1. sin. cos( ) 1 Domain: Range: Domain: Range:
More informationTrigonometry 1 Review for the District Final
Review for the District Final Directions: There are 4 multiple-choice questions (1-4). Do not write in this test booklet. Read each question carefully. Fill in the circle (A, B, C, or D) for the best answer
More informationTrigonometric Functions. Section 1.6
Trigonometric Functions Section 1.6 Quick Review Radian Measure The radian measure of the angle ACB at the center of the unit circle equals the length of the arc that ACB cuts from the unit circle. Radian
More informationc arc length radius a r radians degrees The proportion can be used to
Advanced Functions Page of Radian Measures Angles can be measured using degrees or radians. Radian is the measure of an angle. It is defined as the angle subtended at the centre of the circle in the ratio
More informationDIAGNOSTIC TESTS. (c) (sa sb )(sa sb )
DIAGNOSTIC TESTS Success in calculus depends to a large etent on knowledge of the mathematics that precedes calculus: algebra, analtic geometr, functions, and trigonometr. The following tests are intended
More informationSection 6.2 Notes Page Trigonometric Functions; Unit Circle Approach
Section Notes Page Trigonometric Functions; Unit Circle Approach A unit circle is a circle centered at the origin with a radius of Its equation is x y = as shown in the drawing below Here the letter t
More informationName Date. Show all work! Exact answers only unless the problem asks for an approximation.
Advanced Calculus & AP Calculus AB Summer Assignment Name Date Show all work! Eact answers only unless the problem asks for an approimation. These are important topics from previous courses that you must
More informationMath 175: Chapter 6 Review: Trigonometric Functions
Math 175: Chapter 6 Review: Trigonometric Functions In order to prepare for a test on Chapter 6, you need to understand and be able to work problems involving the following topics. A. Can you sketch an
More informationDISCOVERING THE PYTHAGOREAN IDENTITIES LEARNING TASK:
Name: Class Period: DISCOVERING THE PYTHAGOREAN IDENTITIES LEARNING TASK: An identity is an equation that is valid for all values of the variable for which the epressions in the equation are defined. You
More informationFunctions & Trigonometry Final Review #3. 3. Please find 2 coterminal angels (one positive and one negative) in the same measure as the given angle.
1. Please convert the following angles to degrees. a. 5 3 revolutions CCW = b. 5π 9 = c. 9 12π 4 revolutions CW = d. 5 = 2. Please convert the following angles to radians. a. c. 3 5 revolutions CCW = b.
More informationPractice Test - Chapter 4
Find the value of x. Round to the nearest tenth, if necessary. 1. An acute angle measure and the length of the hypotenuse are given, so the sine function can be used to find the length of the side opposite.
More information* Circle these problems: 23-27, 37, 40-44, 48, No Calculator!
AdvPreCal 1 st Semester Final Eam Review Name 1. Solve using interval notation: 7 8 * Circle these problems: -7, 7, 0-, 8, 6-66 No Calculator!. Solve and graph: 0. Solve using a number line and leave answer
More information9) A) f-1(x) = 8 - x B) f-1(x) = x - 8 C)f-1(x) = x + 8 D) f-1(x) = x 8
Review for Final Eam Name Algebra- Trigonometr MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polnomial completel. If a polnomial cannot
More informationCHAPTER 4 Trigonometry
CHAPTER Trigonometr Section. Radian and Degree Measure You should know the following basic facts about angles, their measurement, and their applications. Tpes of Angles: (a) Acute: Measure between 0 and
More informationPreCalculus Final Exam Review Revised Spring 2014
PreCalculus Final Eam Review Revised Spring 0. f() is a function that generates the ordered pairs (0,0), (,) and (,-). a. If f () is an odd function, what are the coordinates of two other points found
More informationExercise Set 4.3: Unit Circle Trigonometry
Eercise Set.: Unit Circle Trigonometr Sketch each of the following angles in standard position. (Do not use a protractor; just draw a quick sketch of each angle. Sketch each of the following angles in
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) ±
Final Review for Pre Calculus 009 Semester Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation algebraically. ) v + 5 = 7 - v
More informationPre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives
Pre-Calculus MATH 119 Fall 2013 Learning Objectives Section 1.1 1. Use the Distance Formula 2. Use the Midpoint Formula 4. Graph Equations Using a Graphing Utility 5. Use a Graphing Utility to Create Tables
More informationTO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet.
MATH TEST 4 REVIEW TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet. PART NON-CALCULATOR DIRECTIONS: The problems
More information6.5 Trigonometric Equations
6. Trigonometric Equations In this section, we discuss conditional trigonometric equations, that is, equations involving trigonometric functions that are satisfied only by some values of the variable (or
More informationNotes on Radian Measure
MAT 170 Pre-Calculus Notes on Radian Measure Radian Angles Terri L. Miller Spring 009 revised April 17, 009 1. Radian Measure Recall that a unit circle is the circle centered at the origin with a radius
More informationPre-Exam. 4 Location of 3. 4 sin 3 ' = b Location of 180 ' = c Location of 315
MATH-330 Pre-Exam Spring 09 Name Rocket Number INSTRUCTIONS: You must show enough work to justify your answer on ALL problems except for Problem 6. Correct answers with no work or inconsistent work shown
More informationWest Essex Regional School District. AP Calculus AB. Summer Packet
West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral
More information2018 Midterm Review Trigonometry: Midterm Review A Missive from the Math Department Trigonometry Work Problems Study For Understanding Read Actively
Summer . Fill in the blank to correctl complete the sentence..4 written in degrees and minutes is..4 written in degrees and minutes is.. Find the complement and the supplement of the given angle. The complement
More informationHonors Pre-Calculus Summer Work
Honors Pre-Calculus Summer Work Attached you will find a variety of review work based on the prerequisites needed for the Honors Pre-Calculus curriculum. The problems assigned should be the minimum you
More information6.1 Reciprocal, Quotient, and Pythagorean Identities.notebook. Chapter 6: Trigonometric Identities
Chapter 6: Trigonometric Identities 1 Chapter 6 Complete the following table: 6.1 Reciprocal, Quotient, and Pythagorean Identities Pages 290 298 6.3 Proving Identities Pages 309 315 Measure of
More informationPractice Test - Chapter 4
Find the value of x. Round to the nearest tenth, if necessary. Find the measure of angle θ. Round to the nearest degree, if necessary. 1. An acute angle measure and the length of the hypotenuse are given,
More informationSummer Work for Students Entering Calculus
For the problems sets which start on page 6 write out all solutions clearly on a separate sheet of paper. Show all steps and circle your answer. The following are examples of different types of problems.
More informationMcKinney High School AP Calculus Summer Packet
McKinne High School AP Calculus Summer Packet (for students entering AP Calculus AB or AP Calculus BC) Name:. This packet is to be handed in to our Calculus teacher the first week of school.. ALL work
More information1.1 Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 1) 162
Math 00 Midterm Review Dugopolski Trigonometr Edition, Chapter and. Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. ) ) - ) For the given angle,
More informationSummer Assignment MAT 414: Calculus
Summer Assignment MAT 414: Calculus Calculus - Math 414 Summer Assignment Due first day of school in September Name: 1. If f ( x) = x + 1, g( x) = 3x 5 and h( x) A. f ( a+ ) x+ 1, x 1 = then find: x+ 7,
More informationPrecalculus A - Final Exam Review Fall, 2014
Name: Precalculus A - Final Exam Review Fall, 2014 Period: Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 1) 85 2) -166 3) 3 Convert the radian
More information7, 48 7, 6 7, 45. Name: Class: Date: Multiple Choice Questions
Class: Date: Practice Test (00 Trigonometry) Instructor: Koshal Dahal Multiple Choice Questions SHOWALLWORK,EVENFORMULTIPLECHOICEQUESTIONS,TORECEIVECREDIT.. Find the terminal point P (x, y) on the unit
More informationHonors Algebra 2 Chapter 14 Page 1
Section. (Introduction) Graphs of Trig Functions Objectives:. To graph basic trig functions using t-bar method. A. Sine and Cosecant. y = sinθ y y y y 0 --- --- 80 --- --- 30 0 0 300 5 35 5 35 60 50 0
More informationa) Draw the angle in standard position. b) determine an angle that is co-terminal to c) Determine the reference angle of
1. a) Draw the angle in standard position. b) determine an angle that is co-terminal to c) Determine the reference angle of 2. Which pair of angles are co-terminal with? a., b., c., d., 3. During a routine,
More information5.3 Properties of Trigonometric Functions Objectives
Objectives. Determine the Domain and Range of the Trigonometric Functions. 2. Determine the Period of the Trigonometric Functions. 3. Determine the Signs of the Trigonometric Functions in a Given Quadrant.
More informationUnit 5 PreCalculus Review
Class: Date: Unit 5 PreCalculus Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the terminal point P (x, y) on the unit circle determined by
More information1.1 Angles and Degree Measure
J. Jenkins - Math 060 Notes. Angles and Degree Measure An angle is often thought of as being formed b rotating one ra awa from a fied ra indicated b an arrow. The fied ra is the initial side and the rotated
More informationMath Section 4.3 Unit Circle Trigonometry
Math 10 - Section 4. Unit Circle Trigonometry An angle is in standard position if its vertex is at the origin and its initial side is along the positive x axis. Positive angles are measured counterclockwise
More informationReview of Essential Skills and Knowledge
Review of Essential Skills and Knowledge R Eponent Laws...50 R Epanding and Simplifing Polnomial Epressions...5 R 3 Factoring Polnomial Epressions...5 R Working with Rational Epressions...55 R 5 Slope
More informationMathematics Placement Examination (MPE)
Practice Problems for Mathematics Placement Eamination (MPE) Revised June, 011 When ou come to New Meico State Universit, ou ma be asked to take the Mathematics Placement Eamination (MPE) Your inital placement
More informationAP Calculus Summer Homework MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
AP Calculus Summer Homework 2015-2016 Part 2 Name Score MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(p1, P2) between the points
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Semester 1Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. 1) Which one of the equations below matches the graph? 1)
More informationSince 1 revolution = 1 = = Since 1 revolution = 1 = =
Fry Texas A&M University Math 150 Chapter 8A Fall 2015! 207 Since 1 revolution = 1 = = Since 1 revolution = 1 = = Convert to revolutions (or back to degrees and/or radians) a) 45! = b) 120! = c) 450! =
More informationFind: sinθ. Name: Date:
Name: Date: 1. Find the exact value of the given trigonometric function of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.) Find: sinθ c a θ a a =
More informationTrigonometric Functions
Trigonometric Functions This section reviews radian measure and the basic trigonometric functions. C ' θ r s ' ngles ngles are measured in degrees or radians. The number of radians in the central angle
More informationHonors Precalculus Semester 1 Review
Honors Precalculus Semester 1 Review Name: UNIT 1 1. For each sequence, find the explicit and recursive formulas. Show your work. a) 45, 39, 33, 27 b) 8 3, 16 9 32 27, 64 81 Explicit formula: Explicit
More informationMath 1160 Final Review (Sponsored by The Learning Center) cos xcsc tan. 2 x. . Make the trigonometric substitution into
Math 60 Final Review (Sponsored by The Learning Center). Simplify cot csc csc. Prove the following identities: cos csc csc sin. Let 7sin simplify.. Prove: tan y csc y cos y sec y cos y cos sin y cos csc
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 116 Test Review sheet SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) Find the complement of an angle whose measure
More informationKEY IDEAS. Chapter 1 Function Transformations. 1.1 Horizontal and Vertical Translations Pre-Calculus 12 Student Workbook MHR 1
Chapter Function Transformations. Horizontal and Vertical Translations A translation can move the graph of a function up or down (vertical translation) and right or left (horizontal translation). A translation
More information12) y = -2 sin 1 2 x - 2
Review -Test 1 - Unit 1 and - Math 41 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find and simplify the difference quotient f(x + h) - f(x),
More informationAP Calculus I Summer Packet
AP Calculus I Summer Packet This will be your first grade of AP Calculus and due on the first day of class. Please turn in ALL of your work and the attached completed answer sheet. I. Intercepts The -intercept
More informationDate Period In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest tenth. 12) sec 29p 6
Pre Calc T YV0X1^S IKQuZtIal ]SEoofttCwIa_rZeq oltlaci.n T gaolslu ErEi]gjhkt[s\ Ar\efsQe_rsvoeXdM. Trig Review Name Date Period In each problem, angle C is a right angle. Solve each triangle rounding
More informationAdvanced Calculus BC Summer Work Due: 1 st Day of School
Dear Calculus BC student, I hope that ou re all enjoing our first few das of summer! Here s something that will make it a little more fun! Enclosed ou will find a packet of review questions that ou should
More information1. Evaluate the function at each specified value of the independent variable and simplify. f 2a.)
Honors Pre-Calculus Midterm Eam Review Name: January 04 Chapter : Functions and Their Graphs. Evaluate the function at each specified value of the independent variable and simplify. f ( ) f () b. f ( )
More informationSection Inverse Trigonometry. In this section, we will define inverse since, cosine and tangent functions. x is NOT one-to-one.
Section 5.4 - Inverse Trigonometry In this section, we will define inverse since, cosine and tangent functions. RECALL Facts about inverse functions: A function f ) is one-to-one if no two different inputs
More information122. Period: x 4 2 x 7
646 Chapter 7 Analytic Trigonometry. f x x Amplitude: Period: Key points: 0, 0,,,, 0,,,, 0 y x. f x tan x Amplitude: Period: Two consecutive vertical asymptotes: x, x Key points:,, 0, 0,, y x. f x sec
More informationName DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!!
FINAL EXAM REVIEW 0 PRECALCULUS Name DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!! State the domain of the rational
More informationAP CALCULUS. Summer Assignment. Name:
AP CALCULUS Summer Assignment Name: 08/09 North Point High School AP Calculus AB Summer Assignment 08 Congratulations on making it to AP Calculus! In order to complete the curriculum before the AP Eam
More informationCh 5 and 6 Exam Review
Ch 5 and 6 Exam Review Note: These are only a sample of the type of exerices that may appear on the exam. Anything covered in class or in homework may appear on the exam. Use the fundamental identities
More informationCh. 4 - Trigonometry Quiz Review
Class: _ Date: _ Ch. 4 - Trigonometry Quiz Review 1. Find the quadrant in which the given angle lies. 154 a. Quadrant I b. Quadrant II c. Quadrant III d. Quadrant IV e. None of the above 2. Find the supplement
More informationsin cos 1 1 tan sec 1 cot csc Pre-Calculus Mathematics Trigonometric Identities and Equations
Pre-Calculus Mathematics 12 6.1 Trigonometric Identities and Equations Goal: 1. Identify the Fundamental Trigonometric Identities 2. Simplify a Trigonometric Expression 3. Determine the restrictions on
More informationInverse Circular Functions and Trigonometric Equations. Copyright 2017, 2013, 2009 Pearson Education, Inc.
6 Inverse Circular Functions and Trigonometric Equations Copyright 2017, 2013, 2009 Pearson Education, Inc. 1 6.2 Trigonometric Equations Linear Methods Zero-Factor Property Quadratic Methods Trigonometric
More informationMATH 130 FINAL REVIEW
MATH 130 FINAL REVIEW Problems 1 5 refer to triangle ABC, with C=90º. Solve for the missing information. 1. A = 40, c = 36m. B = 53 30', b = 75mm 3. a = 91 ft, b = 85 ft 4. B = 1, c = 4. ft 5. A = 66 54',
More informationMath 5 Trigonometry Chapter 4 Test Fall 08 Name Show work for credit. Write all responses on separate paper. Do not use a calculator.
Math 5 Trigonometry Chapter Test Fall 08 Name Show work for credit. Write all responses on separate paper. Do not use a calculator. 23 1. Consider an arclength of t = travelled counter-clockwise around
More informationAP Calculus AB Summer Assignment Mrs. Berkson
AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the
More informationMth 133 Trigonometry Review Problems for the Final Examination
Mth 1 Trigonometry Review Problems for the Final Examination Thomas W. Judson Stephen F. Austin State University Fall 017 Final Exam Details The final exam for MTH 1 will is comprehensive and will cover
More informationMath 107 Study Guide for Chapters 5 and Sections 6.1, 6.2 & 6.5
Math 07 Study Guide for Chapters 5 and Sections.,. &.5 PRACTICE EXERCISES. Answer the following. 5 Sketch and label the angle θ = in the coordinate plane. Determine the quadrant and reference angle for
More information4.3 TRIGONOMETRY EXTENDED: THE CIRCULAR FUNCTIONS
4.3 TRIGONOMETRY EXTENDED: THE CIRCULAR FUNCTIONS MR. FORTIER 1. Trig Functions of Any Angle We now extend the definitions of the six basic trig functions beyond triangles so that we do not have to restrict
More informationPART I: NO CALCULATOR (144 points)
Math 10 Practice Final Trigonometry 11 th edition Lial, Hornsby, Schneider, and Daniels (Ch. 1-8) PART I: NO CALCULATOR (1 points) (.1,.,.,.) For the following functions: a) Find the amplitude, the period,
More informationProblems with an # after the number are the only ones that a calculator is required for in the solving process.
Instructions: Make sure all problems are numbered in order. All work is in pencil, and is shown completely. Graphs are drawn out by hand. If you use your calculator for some steps, intermediate work should
More informationG r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Final Practice Exam Answer Key
G r a d e P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Final Practice Eam Answer Key G r a d e P r e - C a l c u l u s M a t h e m a t i c s Final Practice Eam Answer Key Name: Student Number:
More informationPre-Calc 12 Final Exam Review Ch 1 Transformations 1. and b) f ( x ) translated 4 units to the right. =, what point must be on the following?
Pre-Calc Final Eam Review Ch Transformations. If f ( ) =, find the equation of a) f ( ) Name: and b) f ( ) translated units to the right.. If ( a, b ) is a point on the graph of f ( ) a) f ( + 0) b) (
More informationHonors Accelerated Pre-Calculus Midterm Exam Review Name: January 2010 Chapter 1: Functions and Their Graphs
Honors Accelerated Pre-Calculus Midterm Eam Review Name: January 010 Chapter 1: Functions and Their Graphs 1. Evaluate the function at each specified value of the independent variable and simplify. 1 f
More informationMTH 122: Section 204. Plane Trigonometry. Test 1
MTH 122: Section 204. Plane Trigonometry. Test 1 Section A: No use of calculator is allowed. Show your work and clearly identify your answer. 1. a). Complete the following table. α 0 π/6 π/4 π/3 π/2 π
More information