Solve the problem. 2) If tan = 3.7, find the value of tan + tan ( + ) + tan ( + 2 ). A) 11.1 B) 13.1 C) D) undefined
|
|
- Baldric Simon
- 6 years ago
- Views:
Transcription
1 Assignment Bonus Chs 6,,8 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. 1) ( 4, ) Find sin t. 1) A) 4 B) 4 C) D) 4 2) If tan =., find the value of tan + tan ( + ) + tan ( + 2 ). 2) A) 11.1 B) 1.1 C) D) undefined Find an equation for the graph. ) ) A) y = cos 1 2 x B) y = cos (2x) C) y = 2 cos 1 x D) y = 2 cos (x) Graph the function. 4) y = sec(2x) 4) 1
2 A) B) C) D) Find the domain of the function f and of its inverse function f-1. ) f(x) = - cos(10x + ) ) A) Domain of f: (, ) Domain of f-1: (, ) B) Domain of f: (, ) Domain of f-1: [-, ] C) Domain of f: [-, ] Domain of f-1: (, ) D) Domain of f: (, ) Domain of f-1: [-10, 10] Use a calculator to find the value of the expression in radian measure rounded to two decimal places. 6) cot-1-1 6) A) B) C) -0. D)
3 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Establish the identity. cos x ) sec x cos x sec x + 1 = 2 cos x tan2 x ) 8) In 188, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first 8) person to calculate the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61 Cygni, at 0.14 arc seconds (Parallax is the change in position of the star measured against background stars as Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 10,000,000 km and = 0.14 seconds = minutes = degrees determine the distance d from Earth to 61 Cygni using Bessel's figures. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 9) From the edge of a 1000-foot cliff, the angles of depression to two cars in the valley below are 21 9) and 28. How far apart are the cars? Round your answers to the nearest 0.1 ft. A) 14.4 ft B) 24. ft C) 24.4 ft D) 1.4 ft 10) A photographer points a camera at a window in a nearby building forming an angle of 42 with the 10) camera platform. If the camera is 2 m from the building, how high above the platform is the window, to the nearest hundredth of a meter? A) 1.11 m B) 0.9 m C). m D) m
4 Find the value of the indicated trigonometric function of the angle in the figure. Give an exact answer with a rational denominator. 11) 11) Find csc. 9 A) csc = B) csc = C) csc = 106 D) csc = ) 12) 8 Find cot. A) cot = B) cot = C) cot = 8 D) cot = 8 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Establish the identity. 1) cot2x csc x - 1 = 1 + sin x sin x 1) Simplify the trigonometric expression by following the indicated direction. 1 14) Rewrite over a common denominator: 1 - sin sin 14) Establish the identity. 1) cot 2 x + csc 2 x = 2 csc 2 x - 1 1) 16) ln 1 + sin u + ln 1 - sin u = 2 ln cos u 16) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the exact value of the expression. 1) cot sin ) A) 1 B) 2 C) 2 2 D) 2 4
5 18) cot-1-18) A) 6 B) C) - D) - 6 Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, find the exact value of the composite function. 19) g-1 f ) A) - B) 2 C) 6 D) - 6 Find the exact value of the expression. 20) cot cos ) A) - 24 B) C) 2 D) - 24 Find the exact value, if any, of the composite function. If there is no value, say it is "not defined". Do not use a calculator. 21) sin[sin-1(-0.)] 21) A) 0. B) -0. C) 2.8 D) not defined Use a calculator to find the value of the expression rounded to two decimal places. 22) tan-1(-1.) 22) A) -6.1 B) -.69 C) -0.9 D) Find the exact solution of the equation. 2) cos-1 x - = cos-1 x 2) A) 0 B) 1 C) D) -1 Find the exact value of the expression. 24) sin ) A) 2 B) - 2 C) 0 D) 2) A rotating beacon is located 12 ft from a wall. If the distance from the beacon to the point on the 2) wall where the beacon is aimed is given by a = 12 sec (2 t), where t is in seconds, find a when t = 0.4 seconds. Round your answer to the nearest hundredth. A) 2.6 ft B) ft C) ft D) ft Graph the function.
6 26) y = csc 1 x 26) A) B) C) D) 6
7 2) y = cot(4x) 2) A) B) C) D) 28) Find the average rate of change of f(x) = tan x from 0 to 4. 28) A) 4 B) 0 C) 4 D) 1
8 Match the given function to its graph. 29) 1) y = sin x - 2 2) y = cos x ) ) y = sin x + 2 4) y = cos x - 2 A B C D A) 1A, 2D, C, 4B B) 1C, 2A, B, 4D C) 1A, 2B, C, 4D D) 1B, 2D, C, 4A Use transformations to graph the function. 0) y = cos x 0) 8
9 A) B) C) D) 9
10 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A mass hangs from a spring which oscillates up and down. The position P of the mass at 1) time t is given by P = 4 cos(4t) What is the amplitude? What is the period? Graph this function over two periods beginning at t = 0. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the sinusoidal function using key points. 2) y = -2 cos 1 2 x + 2 2) 10
11 A) B) C) D) Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator. ) tan 1080 ) A) 1 B) C) 0 D) undefined 4) If cot = -4.2, find the value of cot + cot ( + ) + cot ( + 2 ). 4) A) B) C) D) undefined Find the exact value of the indicated trigonometric function of. ) csc = -, in quadrant III Find cot. ) 2 A) 2 B) - C) - D) - 2 Use the even-odd properties to find the exact value of the expression. Do not use a calculator. 6) csc (-60 ) 6) A) -2 B) - 2 C) 2 D) 2 11
12 Find the exact value of the expression if = 4. Do not use a calculator. ) f( ) = cot Find f( ). ) A) -1 B) C) 1 D) 0 Use a calculator to find the approximate value of the expression rounded to two decimal places. 8) cot 10 8) A).08 B) C).0 D) In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. 9) ( 4, ) Find tan t. 9) 4 A) B) 4 C) D) 4 40) If sin = 0., find sin ( + ). 40) A) 0. B) -0. C) 0. D)
AP 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. 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 informationTO EARN ANY CREDIT, YOU MUST SHOW STEPS LEADING TO THE ANSWER
Prof. Israel N. Nwaguru MATH 11 CHAPTER,,, AND - REVIEW WORKOUT EACH PROBLEM NEATLY AND ORDERLY ON SEPARATE SHEET THEN CHOSE THE BEST ANSWER TO EARN ANY CREDIT, YOU MUST SHOW STEPS LEADING TO THE ANSWER
More informationD) sin A = D) tan A = D) cos B =
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the function requested. Write your answer as a fraction in lowest terms. 1) 1) Find sin A.
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 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 informationÊ 7, 45 Ê 7 Ë 7 Ë. Time: 100 minutes. Name: Class: Date:
Class: Date: Time: 100 minutes Test1 (100 Trigonometry) Instructor: Koshal Dahal SHOW ALL WORK, EVEN FOR MULTIPLE CHOICE QUESTIONS, TO RECEIVE FULL CREDIT. 1. Find the terminal point P (x, y) on the unit
More informationName Date Period. Calculater Permitted MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
PreAP Precalculus Spring Final Exam Review Name Date Period Calculater Permitted MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the expression.
More informationMath 1060 Midterm 2 Review Dugopolski Trigonometry Edition 3, Chapter 3 and 4
Math 1060 Midterm Review Dugopolski Trigonometry Edition, Chapter and.1 Use identities to find the exact value of the function for the given value. 1) sin α = and α is in quadrant II; Find tan α. Simplify
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 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 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 informationGroup/In-Class Exercises 8/18/09 g0401larson8etrig.tst 4.1 Radian and Degree Measure
Group/In-Class Exercises 8/8/09 g040larson8etrig.tst 4. Radian and Degree Measure Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The given angle
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 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 informationUse a calculator to find the value of the expression in radian measure rounded to 2 decimal places. 1 8) cos-1 6
Math 180 - chapter 7 and 8.1-8. - New Edition - Spring 09 Name Find the value of the expression. 1) sin-1 0.5 ) tan-1-1 ) cos-1 (- ) 4) sin-1 Find the exact value of the expression. 5) sin [sin-1 (0.7)]
More information2. Find the midpoint of the segment that joins the points (5, 1) and (3, 5). 6. Find an equation of the line with slope 7 that passes through (4, 1).
Math 129: Pre-Calculus Spring 2018 Practice Problems for Final Exam Name (Print): 1. Find the distance between the points (6, 2) and ( 4, 5). 2. Find the midpoint of the segment that joins the points (5,
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 informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the appropriate identity to find the indicated function value. Rationalize the denominator,
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 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 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 140 Study Guide. Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms. 1)
Math 40 Study Guide Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms. ) 0 4) If csc q =, find cot q. A) C) B) 8 Find sin A and cos A. A) sin A = 3 ; cos A
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 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 information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
More informationPre-Calculus II: Trigonometry Exam 1 Preparation Solutions. Math&142 November 8, 2016
Pre-Calculus II: Trigonometry Exam 1 Preparation Solutions Math&1 November 8, 016 1. Convert the angle in degrees to radian. Express the answer as a multiple of π. a 87 π rad 180 = 87π 180 rad b 16 π rad
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 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 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 informationDetermine the value of x or as requested. Round results to an appropriate number of significant digits. 1) Determine the value of.
MAT 205-01C SPRING 2010 Name REVIEW FOR FINAL EXAM Determine the value of x or as requested. Round results to an appropriate number of significant digits. 1) Determine the value of. 1) 20.7 ft 70.1 ft
More informationFLEX Mathematics Introduction to Trigonometry. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
FLEX Mathematics Introduction to Trigonometry Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression. 1) 8 tan 0 + 3 csc 20
More informationMTH30 Review Sheet. y = g(x) BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE
BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH0 Review Sheet. Given the functions f and g described by the graphs below: y = f(x) y = g(x) (a)
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 information1. (10pts) If θ is an acute angle, find the values of all the trigonometric functions of θ given that tan θ = 1. Draw a picture.
Trigonometry Exam 1 MAT 145, Spring 017 D. Ivanšić Name: Show all your work! 1. (10pts) If θ is an acute angle, find the values of all the trigonometric functions of θ given that tan θ = 1. Draw a picture.
More informationUnit 3 Trigonometry. 3.4 Graph and analyze the trigonometric functions sine, cosine, and tangent to solve problems.
1 General Outcome: Develop trigonometric reasoning. Specific Outcomes: Unit 3 Trigonometry 3.1 Demonstrate an understanding of angles in standard position, expressed in degrees and radians. 3.2 Develop
More informationAP Calculus Summer Packet
AP Calculus Summer Packet Writing The Equation Of A Line Example: Find the equation of a line that passes through ( 1, 2) and (5, 7). ü Things to remember: Slope formula, point-slope form, slopeintercept
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Complete the identity. 1 1) sec - sec =? 1) ) csc (sin + cos ) =? ) 3) sin 1 + sin - sin 1 - sin =? 3)
More informationDirections: This is a final exam review which covers all of the topics of the course. Please use this as a guide to assist you in your studies.
MATH 1113 Precalculus FINAL EXAM REVIEW irections: This is a final exam review which covers all of the topics of the course. Please use this as a guide to assist you in your studies. Question: 1 QI: 758
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 informationGroup Final Spring Is the equation a valid form of one of the Pythagorean trigonometric identities? 1 cot ß = csc., π [D] None of these 6
Group Final Spring 010 1 1. Is the equation a valid form of one of the Pythagorean trigonometric identities? 1 cot ß = csc ß. Find the exact value of the expression. sin π cos π cos π sin π 1 4 1 4. Find
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 3 x 9 D) 27. y 4 D) -8x 3 y 6.
Precalculus Review - Spring 018 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the exponential expression. Assume that variables represent
More informationMath 370 Exam 3 Review Name
Math 370 Exam 3 Review Name The following problems will give you an idea of the concepts covered on the exam. Note that the review questions may not be formatted like those on the exam. You should complete
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 informationTrigonometry Final Exam Review
Name Period Trigonometry Final Exam Review 2014-2015 CHAPTER 2 RIGHT TRIANGLES 8 1. Given sin θ = and θ terminates in quadrant III, find the following: 17 a) cos θ b) tan θ c) sec θ d) csc θ 2. Use a calculator
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 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 informationUsing this definition, it is possible to define an angle of any (positive or negative) measurement by recognizing how its terminal side is obtained.
Angle in Standard Position With the Cartesian plane, we define an angle in Standard Position if it has its vertex on the origin and one of its sides ( called the initial side ) is always on the positive
More informationUse a graphing utility to approximate the real solutions, if any, of the equation rounded to two decimal places. 2) x4-3x2 + 4x + 15 = 0 2)
Math 180 - Final Review Name Find the center (h, k) and radius r of the circle. Graph the circle. 1) Find the center, radius, and graph of x + y - x + 8y + 11 = 0. 1) Use a graphing utility to approximate
More informationHalldorson Honors Pre Calculus Name 4.1: Angles and Their Measures
.: Angles and Their Measures. Approximate each angle in terms of decimal degrees to the nearest ten thousandth. a. θ = 5 '5" b. θ = 5 8'. Approximate each angle in terms of degrees, minutes, and seconds
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine algebraically whether the function is even, odd, or neither even nor odd. ) f(x)
More informationPre-Calculus Semester 1 Practice Final
Class: Date: Pre-Calculus Semester Practice Final Multiple Choice Identify the choice that best completes the statement or answers the question.. Evaluate the function at the specified value of the independent
More informationUse transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function. 5) f(x) = -2 x+3 + 4
Review for Spring Exam Entire Review must be completed with a passing grade in order to be eligible for a retest. Due on day of final exam. ALL PROBLEMS ARE TO BE WORKED ON SEPARATE PAPER. NO WORK NO CREDIT!
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 informationHalldorson Honors Pre Calculus Name 4.1: Angles and Their Measures
Halldorson Honors Pre Calculus Name 4.1: Angles and Their Measures 1. Approximate each angle in terms of decimal degrees to the nearest ten thousandth. a. θ = 56 34'53" b. θ = 35 48'. Approximate each
More informationMTH 133: Plane Trigonometry
MTH 133: Plane Trigonometry The Trigonometric Functions Right Angle Trigonometry Thomas W. Judson Department of Mathematics & Statistics Stephen F. Austin State University Fall 2017 Plane Trigonometry
More informationMath 1303 Part II. The opening of one of 360 equal central angles of a circle is what we chose to represent 1 degree
Math 1303 Part II We have discussed two ways of measuring angles; degrees and radians The opening of one of 360 equal central angles of a circle is what we chose to represent 1 degree We defined a radian
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 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 information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. (a) 5
More informationPre-Calculus Exam 2009 University of Houston Math Contest. Name: School: There is no penalty for guessing.
Pre-Calculus Exam 009 University of Houston Math Contest Name: School: Please read the questions carefully and give a clear indication of your answer on each question. There is no penalty for guessing.
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 informationMIDTERM 4 PART 1 (CHAPTERS 5 AND 6: ANALYTIC & MISC. TRIGONOMETRY) MATH 141 FALL 2018 KUNIYUKI 150 POINTS TOTAL: 47 FOR PART 1, AND 103 FOR PART
Math 141 Name: MIDTERM 4 PART 1 (CHAPTERS 5 AND 6: ANALYTIC & MISC. TRIGONOMETRY) MATH 141 FALL 018 KUNIYUKI 150 POINTS TOTAL: 47 FOR PART 1, AND 103 FOR PART Show all work, simplify as appropriate, and
More informationA2T Trig Packet Unit 1
A2T Trig Packet Unit 1 Name: Teacher: Pd: Table of Contents Day 1: Right Triangle Trigonometry SWBAT: Solve for missing sides and angles of right triangles Pages 1-7 HW: Pages 8 and 9 in Packet Day 2:
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 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 information5, tan = 4. csc = Simplify: 3. Simplify: 4. Factor and simplify: cos x sin x cos x
Precalculus Final Review 1. Given the following values, evaluate (if possible) the other four trigonometric functions using the fundamental trigonometric identities or triangles csc = - 3 5, tan = 4 3.
More informationChapter 4/5 Part 1- Trigonometry in Radians
Chapter 4/5 Part 1- Trigonometry in Radians WORKBOOK MHF4U W1 4.1 Radian Measure MHF4U Jensen 1) Determine mentally the exact radian measure for each angle, given that 30 is exactly π 6 radians. a) 60
More informationChapter 4 Trigonometric Functions
Chapter 4 Trigonometric Functions Overview: 4.1 Radian and Degree Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs
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 informationMath 370 Exam 2 Review Name
Math 70 Exam 2 Review Name Be sure to complete these problems before the review session. 10 of these questions will count as a quiz in Learning Catalytics. Round 1 will be individual. Round 2 will be in
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. and θ is in quadrant IV. 1)
Chapter 5-6 Review Math 116 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the fundamental identities to find the value of the trigonometric
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 informationChapter 1: Trigonometric Functions 1. Find (a) the complement and (b) the supplement of 61. Show all work and / or support your answer.
Trig Exam Review F07 O Brien Trigonometry Exam Review: Chapters,, To adequately prepare for the exam, try to work these review problems using only the trigonometry knowledge which you have internalized
More informationa) An even function is symmetric with respect to the y-axis. An odd function is symmetric with respect to the origin.
Course Review Course Review Question 1 Page 479 a) An even function is symmetric with respect to the y-axis. An odd function is symmetric with respect to the origin. b) Substitute x for x in f(x). If f(
More information5 Trigonometric Functions
5 Trigonometric Functions 5.1 The Unit Circle Definition 5.1 The unit circle is the circle of radius 1 centered at the origin in the xyplane: x + y = 1 Example: The point P Terminal Points (, 6 ) is on
More informationHonors Pre-calculus Midterm Review
Honors Pre-calculus Midterm Review Name: Chapter 1: Functions and Their Graphs 1. Evaluate the function f(x) = x 2 + 1 at each specified value of the independent variable and simplify. a. f( 3) b. f(x
More informationFind the length of an arc that subtends a central angle of 45 in a circle of radius 8 m. Round your answer to 3 decimal places.
Chapter 6 Practice Test Find the radian measure of the angle with the given degree measure. (Round your answer to three decimal places.) 80 Find the degree measure of the angle with the given radian measure:
More informationHow to use this Algebra II - Semester 2 Study Packet
Excellence is not an act, but a habit. Aristotle Dear Algebra II Student, First of all, Congrats! for making it this far in your math career. Passing Algebra II is a huge mile-stone Give yourself a pat
More informationA. Incorrect! This equality is true for all values of x. Therefore, this is an identity and not a conditional equation.
CLEP-Precalculus - Problem Drill : Trigonometric Identities No. of 0 Instructions: () Read the problem and answer choices carefully () Work the problems on paper as. Which of the following equalities is
More information( 3 ) = (r) cos (390 ) =
MATH 7A Test 4 SAMPLE This test is in two parts. On part one, you may not use a calculator; on part two, a (non-graphing) calculator is necessary. When you complete part one, you turn it in and get part
More informationSANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET
SANDERSON HIGH SCHOOL AP CALCULUS AB/BC SUMMER REVIEW PACKET 017-018 Name: 1. This packet is to be handed in on Monday August 8, 017.. All work must be shown on separate paper attached to the packet. 3.
More informationFinal Exam Review Problems
Final Exam Review Problems Name: Date: June 23, 2013 P 1.4. 33. Determine whether the line x = 4 represens y as a function of x. P 1.5. 37. Graph f(x) = 3x 1 x 6. Find the x and y-intercepts and asymptotes
More informationD) -1 C)~ 2 D)-~ C)~ 4 A) -2 13) _ 2,J3 A-I. Exam. Name ---_._ ~
Exam Name ---_._----------~ '. Semester Exam - Trigonometry 2012 f ('0'
More informationMath 370 Exam 3 Review Name
Math 70 Exam Review Name The following problems will give you an idea of the concepts covered on the exam. Note that the review questions may not be formatted like those on the exam. You should complete
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 informationChapter 1. Functions 1.3. Trigonometric Functions
1.3 Trigonometric Functions 1 Chapter 1. Functions 1.3. Trigonometric Functions Definition. The number of radians in the central angle A CB within a circle of radius r is defined as the number of radius
More informationPre-Calculus 40 Final Outline/Review:
2016-2017 Pre-Calculus 40 Final Outline/Review: Non-Calculator Section: 16 multiple choice (32 pts) and 6 open ended (24 pts). Calculator Section: 8 multiple choice (16 pts) and 11 open ended (36 pts).
More informationSolutionbank Edexcel AS and A Level Modular Mathematics
Page of Exercise A, Question The curve C, with equation y = x ln x, x > 0, has a stationary point P. Find, in terms of e, the coordinates of P. (7) y = x ln x, x > 0 Differentiate as a product: = x + x
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 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 informationAlgebra 2/Trig AIIT.17 Trig Identities Notes. Name: Date: Block:
Algebra /Trig AIIT.7 Trig Identities Notes Mrs. Grieser Name: Date: Block: Trigonometric Identities When two trig expressions can be proven to be equal to each other, the statement is called a trig identity
More informationDual-Enrollment Final Exam Preparation
Dual-Enrollment Final Exam Preparation Dates: May 7 th and 8 th : Part 1 (75 minutes) 20-25 questions covering 1 st Semester Material May 9 th and 10 th Part 2 (75 minutes) 35-40 Questions covering 2 nd
More informationPART 1: USING SCIENTIFIC CALCULATORS (50 PTS.)
Math 141 Name: MIDTERM 4 PART 1 (CHAPTERS 5 AND 6: ANALYTIC & MISC. TRIGONOMETRY) MATH 141 SPRING 2018 KUNIYUKI 150 POINTS TOTAL: 50 FOR PART 1, AND 100 FOR PART 2 Show all work, simplify as appropriate,
More informationTrigonometry (Ch. 4) Test Review - CALCULATOR ALLOWED
Name: Class: Date: ID: A Trigonometry (Ch. 4) Test Review - CALCULATOR ALLOWED 1. A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower a = 190 feet above the ground.
More informationx 2 x 2 4 x 2 x + 4 4x + 8 3x (4 x) x 2
MTH 111 - Spring 015 Exam Review (Solutions) Exam (Chafee Hall 71): April rd, 6:00-7:0 Name: 1. Solve the rational inequality x +. State your solution in interval notation. x DO NOT simply multiply both
More informationTest3 Review. $ & Chap. 6. g(x) 6 6cosx. Name: Class: Date:
Class: Date: Test Review $5.-5.5 & Chap. 6 Multiple Choice Identify the choice that best completes the statement or answers the question.. Graph the function. g(x) 6 6cosx a. c. b. d. . Graph the function.
More informationCalculus I Sample Exam #01
Calculus I Sample Exam #01 1. Sketch the graph of the function and define the domain and range. 1 a) f( x) 3 b) g( x) x 1 x c) hx ( ) x x 1 5x6 d) jx ( ) x x x 3 6 . Evaluate the following. a) 5 sin 6
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 informationBRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH06 Review Sheet y 6 2x + 5 y.
BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH06 Review Sheet. Perform the indicated operations and simplif: n n 0 n + n ( 9 ) ( ) + + 6 + 9ab
More information