7, 48 7, 6 7, 45. Name: Class: Date: Multiple Choice Questions
|
|
|
- Gavin McCormick
- 5 years ago
- Views:
Transcription
1 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 circle determined by t. Round each value to the nearest hundredth. a. ( 0.00,.00) b. (0.00,.00) c. (0.00,.00) d. (0.,.). The point P is on the unit circle. The x-coordinate of P is and P is in quadrant I. Find the point P(x, y). a., 8 b., c., 8 d., 8. The point P is on the unit circle. The x-coordinate of P is and P is in quadrant II. Find the point P (x, y). a., b., c., d.,
2 . Find the terminal point P (x, y) on the unit circle determined by t. Round the values to the nearest hundredth. a. (0.9, 0.) b. (0.8, 0.9) c. ( 0.8, 0.9) d. (0.8, 0.9). Find the terminal point P (x, y) on the unit circle determined by t. Round the values to the nearest hundredth. a. (0., 0.) b. (0.8, 0.8) c. ( 0., 0.) d. ( 0., 0.). Find the terminal point P (x, y) on the unit circle determined by t. Round each value to the nearest hundredth. a. (0.8, 0.0) b. ( 0.8, 0.0) c. ( 0.99, 0.) d. ( 0.8, 0.0). Suppose that the terminal point determined by t is,. Find the terminal point determined by t. a., b., c., d.,
3 8. Find the reference number for t. a. b. c. d. 9. Find the terminal point P (x, y) and the reference number determined by t. Round the coordinates of the terminal point to the nearest hundredth, and express the reference number in terms of a. terminal point is ( 0.0, 0.8), reference number is b. terminal point is ( 0.0, 0.8), reference number is c. terminal point is (0.0, 0.8), reference number is d. terminal point is (0.0, 0.8), reference number is 0. Find the terminal point P (x, y) and the reference number determined by t. Round the coordinates of the terminal point to the nearest hundredth, and express the reference number in terms of a. terminal point is (0.8, 0.0), reference number is b. terminal point is ( 0.8, 0.0), reference number is c. terminal point is ( 0.8, 0.0), reference number is d. terminal point is ( 0.8, 0.0), reference number is. Find the terminal point P (x, y) and the reference number determined by t 9. Round the coordinates of the terminal point to the nearest hundredth, and express the reference number in terms of a. terminal point is ( 0.8, 0.0), reference number is b. terminal point is ( 0.8, 0.0), reference number is c. terminal point is (0.8, 0.0), reference number is d. terminal point is ( 0.8, 0.0), reference number is
4 . Find the terminal point P (x, y) and the reference number determined by t. Round the coordinates of the terminal point to the nearest hundredth, and express the reference number in terms of a. terminal point is ( 0.8, 0.0), reference number is b. terminal point is (0.8, 0.0), reference number is c. terminal point is ( 0.8, 0.0), reference number is d. terminal point is ( 0.8, 0.0), reference number is. Find the exact values of the trigonometric functions sin and cos. a. sin, cos 0 b. sin, cos c. sin 0, cos. Find the exact value of the trigonometric functions sin and sin. a. sin b. sin c. sin, sin 0, sin 0, sin. Find the exact values of the trigonometric functions sin 9 and cos 9. a. sin 9,cos9 b. sin 9,cos9 c. sin 9,cos9. Find the exact values of the trigonometric functions sin and sin. a. sin 0., sin 0. b. sin 0., sin 0. c. sin 0., sin 0.
5 . Find the exact values of the trigonometric functions sec and csc. a. sec, csc b. sec, cot c. sec, csc 8. Find the exact values of the trigonometric functions sec 9 and csc. a. sec 9, csc b. sec 9, csc c. sec 9, csc 9. Find the exact values of the trigonometric functions tan and tan. a. tan,tan b. tan,tan c. tan, tan 0. Find the exact value of the trigonometric function cos. a. cos b. cos 0 c. cos. The terminal point determined by t is, 0. Find sin t, cos t, and tan t. a. sint 0,cost,tant 0 b. sint c. sint,cost 0,tant 0 0,cost,tant 0
6 . The terminal point determined by t is,. Find sin t, cos t, and tan t. a. sint,cost,tant b. sint c. sint,cost,tant,cost,tant. Find the values of the trigonometric functions of t if sint a. sint b. sint c. sint,cost,tant,cott,cost,tant,cott,cost,tant,cott and the terminal point of t is in quadrant II.. Find the values of the trigonometric functions of t if cost and the terminal point of t is in quadrant III. 0 a. sint b. sint c. sint 0,cost 0,tant,cott 0,cost 0,tant,cott 0,cost 0,tant,cott. Find the values of the trigonometric functions of t if sec t, and the terminal point of t is in quadrant IV. a. sint b. sint c. sint 0,cost,tant 0 0,cott 0 0,cost,tant 0 0,cott 0 0,cost 0,tant 0 0,cott 0
7 . Find the values of the trigonometric functions of t if tant and the terminal point of t is in quadrant II. a. sint,cost 0,tant, cot t b. sint,cost 0,tant, cot t c. sint,cost 0,tant, cot t. Find the values of the trigonometric functions of t if tant a. sint b. sint c. sint,cost,tant,cost,tant,cost,tant,cott,cott,cott 8. Find the values of the trigonometric functions of t if sint a. sint b. sint c. sint,cost,tant,cott,cost,tant,cost,tant,cott,cott and cost 0. and sec t Determine whether the function 9x cosx is even, odd, or neither. a. odd b. even c. neither 0. Determine whether the function x cosx is even, odd, or neither. a. neither b. odd c. even
8 . Graph the function. g(x) cosx a. d. b. e. c. 8
9 . Graph the function. g(x) sinx a. d. b. e. c. 9
10 . Graph the function. g(x) cosx a. c. b. d. 0
11 . Graph the function. g(x) sinx a. d. b. e. c.
12 . Sketch the graph. y cos x a. d. b. e. c.
13 . Find the period and graph the function. y tanx a. period d. period b. period e. period c. period
14 . Find the period and graph the function. y tan x
15 a. period d. period b. period e. period c. period
16 8. Find the exact value of sin and cos. a. sin 0, cos b. sin, cos 0 c. sin, cos d. sin, cos e. sin, cos 0 9. Find the exact value of sec and csc. a., b., c., d., e., 0. Find the exact value of the expression, if it is defined. cos tan a. b. c. d. e. none of these
17 . Find the approximate value of cos.8 using a calculator. a. 0. b. 0. c. 0.9 d. 0. e Find the exact value of the expression, if it is defined. cot cos a. b. c. d. e. none of these. Find the exact value of each expression, if it is defined. sin a. b. c. d. e.
18 Numeric Response. Find all solutions of the equation that lie in the interval 0,. State each answer correct to two decimal places. cosx 0.9 x = Short Answer. The point P is on the unit circle. Find P(x,y) from the given information. The y-coordinate of P is 0 and the x-coordinate is negative.. The point P is on the unit circle. Find P(x,y) from the given information. The x-coordinate of P is positive and the y-coordinate of P is Find the terminal point P(x,y) on the unit circle determined by the given value of t. 8. Find the terminal point P(x,y) on the unit circle determined by the given value of t. 8
19 9. Find the approximate value of the given trigonometric function. sin (a) By using the figure. Please give the answer to one decimal place. sin (b) By using a calculator in radians. Please give the answer to five decimal places. sin 0. Find all solutions of the equation that lie in the interval 0,. State each answer correct to two decimal places. csc x x = 9
20 . Each time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic/diastolic. A reading of 0/80 is considered normal. A certain person's blood pressure is modeled by the function p(t) 0 sin(0t) where p(t) is the pressure in mmhg, at time t measured in minutes. (a) Find the period of p. period = minute (b) Find the number of heartbeats per minute. (c) Find the blood pressure reading. / (d) How does this compare to normal blood pressure? 0
Ê 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
Unit 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
1,cost 1 1,tant 0 1,cott ,cost 0 1,tant 0. 1,cott 1 0. ,cost 5 6,tant ,cott x 2 1 x. 1 x 2. Name: Class: Date:
Class: Date: Practice Test (Trigonometry) Instructor: Koshal Dahal Multiple Choice Questions SHOW ALL WORK, EVEN FOR MULTIPLE CHOICE QUESTIONS, TO RECEIVE CREDIT. 1. Find the values of the trigonometric
MTH 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
Trigonometric 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
5, 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.
Math 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
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
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
Honors 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
2.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
Trigonometry 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
Math 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
MULTIPLE 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
Algebra 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
Pre-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
Math 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
Halldorson 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
Ch 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
Math 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
5 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
( ) - 4(x -3) ( ) 3 (2x -3) - (2x +12) ( x -1) 2 x -1) 2 (3x -1) - 2(x -1) Section 1: Algebra Review. Welcome to AP Calculus!
Welcome to AP Calculus! Successful Calculus students must have a strong foundation in algebra and trigonometry. The following packet was designed to help you review your algebra skills in preparation for
Math 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
( 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
TO 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
Halldorson 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
SHORT 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
12) 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),
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
Math 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
Exercise 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
17 Logarithmic Properties, Solving Exponential & Logarithmic
Logarithmic Properties, Solving Eponential & Logarithmic Equations & Models Concepts: Properties of Logarithms Simplifying Logarithmic Epressions Proving the Quotient Rule for Logarithms Using the Change
Using 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
Mth 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
A) 13 B) 9 C) 22 D) log 9
Math 70 Exam 2 Review Name Be sure to complete these problems before the review session. Participation in our review session will count as a quiz grade. Please bring any questions you have ready to ask!
Unit 6 Trigonometric Identities
Unit 6 Trigonometric Identities Prove trigonometric identities Solve trigonometric equations Prove trigonometric identities, using: Reciprocal identities Quotient identities Pythagorean identities Sum
y = 5 x. Which statement is true? x 2 6x 25 = 0 by completing the square?
Algebra /Trigonometry Regents Exam 064 www.jmap.org 064a Which survey is least likely to contain bias? ) surveying a sample of people leaving a movie theater to determine which flavor of ice cream is the
Section 6.2 Trigonometric Functions: Unit Circle Approach
Section. Trigonometric Functions: Unit Circle Approach The unit circle is a circle of radius centered at the origin. If we have an angle in standard position superimposed on the unit circle, the terminal
Ch. 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
FLEX 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
SHORT 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)
Precalculus 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
Practice 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,
A-Level Mathematics TRIGONOMETRY. G. David Boswell - R2S Explore 2019
A-Level Mathematics TRIGONOMETRY G. David Boswell - R2S Explore 2019 1. Graphs the functions sin kx, cos kx, tan kx, where k R; In these forms, the value of k determines the periodicity of the trig functions.
College Trigonometry
College Trigonometry George Voutsadakis 1 1 Mathematics and Computer Science Lake Superior State University LSSU Math 11 George Voutsadakis (LSSU) Trigonometry January 015 1 / 8 Outline 1 Trigonometric
MTH30 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)
Pre-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
Name 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.
(C), 5 5, (B) 5, (C) (D), 20 20,
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).
Exam 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
MA 110 Algebra and Trigonometry for Calculus Spring 2017 Exam 3 Tuesday, 11 April Multiple Choice Answers EXAMPLE A B C D E.
MA 110 Algebra and Trigonometry for Calculus Spring 017 Exam 3 Tuesday, 11 April 017 Multiple Choice Answers EXAMPLE A B C D E Question Name: Section: Last digits of student ID #: This exam has twelve
Chapter 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
Instructor: Koshal Dahal Test 4 date: Fri, May 1
Rec/Sec: Review Test (Math1650:500) Instructor: Koshal Dahal Test date: Fri, May 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the equivalent
SHORT 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
CHAPTER 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
DISCOVERING 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
AP 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
Inverse Trig Functions
6.6i Inverse Trigonometric Functions Inverse Sine Function Does g(x) = sin(x) have an inverse? What restriction would we need to make so that at least a piece of this function has an inverse? Given f (x)
Next, we ll use all of the tools we ve covered in our study of trigonometry to solve some equations.
Section 6.3 - Solving Trigonometric Equations Next, we ll use all of the tools we ve covered in our study of trigonometry to solve some equations. These are equations from algebra: Linear Equation: Solve:
The Other Trigonometric
The Other Trigonometric Functions By: OpenStaxCollege A wheelchair ramp that meets the standards of the Americans with Disabilities Act must make an angle with the ground whose tangent is or less, regardless
Math 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
A. Incorrect! For a point to lie on the unit circle, the sum of the squares of its coordinates must be equal to 1.
Algebra - Problem Drill 19: Basic Trigonometry - Right Triangle No. 1 of 10 1. Which of the following points lies on the unit circle? (A) 1, 1 (B) 1, (C) (D) (E), 3, 3, For a point to lie on the unit circle,
Use 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
ADDITONAL MATHEMATICS
ADDITONAL MATHEMATICS 00 0 CLASSIFIED TRIGONOMETRY Compiled & Edited B Dr. Eltaeb Abdul Rhman www.drtaeb.tk First Edition 0 5 Show that cosθ + + cosθ = cosec θ. [3] 0606//M/J/ 5 (i) 6 5 4 3 0 3 4 45 90
a) 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,
Section 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
NOTES 10: ANALYTIC TRIGONOMETRY
NOTES 0: ANALYTIC TRIGONOMETRY Name: Date: Period: Mrs. Nguyen s Initial: LESSON 0. USING FUNDAMENTAL TRIGONOMETRIC IDENTITIES FUNDAMENTAL TRIGONOMETRIC INDENTITIES Reciprocal Identities sin csc cos sec
Use 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)]
Level 1 Advanced Mathematics Final Exam June 19, 2007
Level Advanced Mathematics Final Exam June 9, 007 NAME: Instructions WRITE ANSWERS IN THE SPACES PROVIDED AND SHOW ALL WORK. Partial credit will not be given if work is not shown. Ask for extra paper if
SANDERSON 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.
Functions. Remark 1.2 The objective of our course Calculus is to study functions.
Functions 1.1 Functions and their Graphs Definition 1.1 A function f is a rule assigning a number to each of the numbers. The number assigned to the number x via the rule f is usually denoted by f(x).
1. 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.
Practice 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.
Mth Review Problems for Test 2 Stewart 8e Chapter 3. For Test #2 study these problems, the examples in your notes, and the homework.
For Test # study these problems, the examples in your notes, and the homework. Derivative Rules D [u n ] = nu n 1 du D [ln u] = du u D [log b u] = du u ln b D [e u ] = e u du D [a u ] = a u ln a du D [sin
2. 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,
5.1: Angles and Radian Measure Date: Pre-Calculus
5.1: Angles and Radian Measure Date: Pre-Calculus *Use Section 5.1 (beginning on pg. 482) to complete the following Trigonometry: measurement of triangles An angle is formed by two rays that have a common
Precalculus Honors Problem Set: Elementary Trigonometry
Precalculus Honors Problem Set: Elementary Trigonometry Mr. Warkentin 03 Sprague Hall 017-018 Academic Year Directions: These questions are not presented in order of difficulty. Some of these questions
Functions & 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.
Directions: 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
C) ) 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
1. 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
Chapter 2 Differentiation. 2.1 Tangent Lines and Their Slopes. Calculus: A Complete Course, 8e Chapter 2: Differentiation
Chapter 2 Differentiation 2.1 Tangent Lines and Their Slopes 1) Find the slope of the tangent line to the curve y = 4x x 2 at the point (-1, 0). A) -1 2 C) 6 D) 2 1 E) -2 2) Find the equation of the tangent
Lesson 7.3 Exercises, pages
Lesson 7. Exercises, pages 8 A. Write each expression in terms of a single trigonometric function. cos u a) b) sin u cos u cot U tan U P DO NOT COPY. 7. Reciprocal and Quotient Identities Solutions 7 c)
Pre-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).
Math 143 Final Exam Practice Problems - Part 2
1. Find the exact value of the following: (a) sin( π 1 ) sin( 1 ) sin(30 ) Math Final Exam Practice Problems - Part sin(30 ) cos( ) sin( ) cos(30 ) ( 1 ) ( ) ( ) ( 3 ) (b) cos(10 ) cos(60 + ) cos(60 )
Trigonometry 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
Chapter 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
A2T 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:
Math 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
Trigonometry LESSON SIX - Trigonometric Identities I Lesson Notes
LESSON SIX - Trigonometric Identities I Example Understanding Trigonometric Identities. a) Why are trigonometric identities considered to be a special type of trigonometric equation? Trigonometric Identities
Section 4.8 Anti Derivative and Indefinite Integrals 2 Lectures. Dr. Abdulla Eid. College of Science. MATHS 101: Calculus I
Section 4.8 Anti Derivative and Indefinite Integrals 2 Lectures College of Science MATHS 101: Calculus I (University of Bahrain) 1 / 28 Indefinite Integral Given a function f, if F is a function such that
Unit 6 Trigonometric Identities Prove trigonometric identities Solve trigonometric equations
Unit 6 Trigonometric Identities Prove trigonometric identities Solve trigonometric equations Prove trigonometric identities, using: Reciprocal identities Quotient identities Pythagorean identities Sum
Section 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
CK- 12 Algebra II with Trigonometry Concepts 1
14.1 Graphing Sine and Cosine 1. A.,1 B. (, 1) C. 3,0 D. 11 1, 6 E. (, 1) F. G. H. 11, 4 7, 1 11, 3. 3. 5 9,,,,,,, 4 4 4 4 3 5 3, and, 3 3 CK- 1 Algebra II with Trigonometry Concepts 1 4.ans-1401-01 5.
Chapter 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
MATH 115 Precalculus Spring, 2015, V1.2
MULTIPLE CHOICE 1. Solve, and express the answer in interval notation: 6 5x 4. 1. A. (, 2] [2/5, ) B. [2/5, 2] C. (, 2/5] D. (, 2/5] [2, ) 2. Which of the following polynomials has a graph which exhibits
Pre-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.
I can complete a table of values using a calculator.
Starter 1) True or false? cos (x) = 1 + sin (x) Why? 2 2 2) Solve 1 + 4sin(x) = 3 for 0 < x < 360 Today we are learning... Sketching Trigonometric Graphs How to sketch a variety of trigonometric graphs.
Prof. Israel Nwaguru PLANE TRIGONOMETRY - MATH 1316, CHAPTER REVIEW
Prof. Israel Nwaguru PLANE TRIGONOMETRY - MATH 1316, CHAPTER 1.1-1.4 REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the quadrant in which
4-3 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