Precalculus (MindTap Course List)
Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 5.3, Problem 39E

Solving a Multiple-Angle Equation In

Exercises 3 9 - 4 6 , solve the multiple-angle equation.

2 cos 2 x − 1 = 0

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Ch. 5.1 - Use the conditions tanx=13 and cosx0 to find the...Ch. 5.1 - Prob. 2CPCh. 5.1 - Factor each expression. a. 1-cos2 b. 2csc2-7csc+6Ch. 5.1 - Prob. 4CPCh. 5.1 - Prob. 5CPCh. 5.1 - Prob. 6CPCh. 5.1 - Prob. 7CPCh. 5.1 - Use the substitution x=3sin,02, to write 9-x2 as a...Ch. 5.1 - Rewrite ln|secx|+ln|sinx| as a single logarithm...Ch. 5.1 - Vocabulary: Fill in the blank to complete the...
Ch. 5.1 - Prob. 2ECh. 5.1 - Vocabulary: Fill in the blank to complete the...Ch. 5.1 - Vocabulary: Fill in the blank to complete the...Ch. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Use Identities to Evaluate a Function In Exercises...Ch. 5.1 - Prob. 10ECh. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Matching Trigonometric Expressions In Exercises...Ch. 5.1 - Matching Trigonometric Expressions In Exercises...Ch. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Matching Trigonometric Expressions In Exercises...Ch. 5.1 - Matching Trigonometric Expressions In Exercises...Ch. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Factoring a Trigonometric Expression In Exercises...Ch. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Simplifying a Trigonometric Expression In...Ch. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Adding or Subtracting Trigonometric Expressions In...Ch. 5.1 - Adding or Subtracting Trigonometric Expressions In...Ch. 5.1 - Adding or Subtracting Trigonometric Expressions In...Ch. 5.1 - Adding or Subtracting Trigonometric Expressions In...Ch. 5.1 - Rewriting a Trigonometric Expressions In Exercises...Ch. 5.1 - Rewriting a Trigonometric Expressions In Exercises...Ch. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Trigonometric Substitution In Exercises 53-56, use...Ch. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Rewriting a Logarithmic Expression In Exercises...Ch. 5.1 - Prob. 62ECh. 5.1 - Rewriting a Logarithmic Expression In Exercises...Ch. 5.1 - Prob. 64ECh. 5.1 - Friction The forces acting on an object weighing W...Ch. 5.1 - Prob. 66ECh. 5.1 - Prob. 67ECh. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - Prob. 70ECh. 5.1 - Prob. 71ECh. 5.1 - Prob. 72ECh. 5.1 - Prob. 73ECh. 5.1 - Prob. 74ECh. 5.1 - Prob. 75ECh. 5.2 - Verify the identity sin2+cos2cos2sec2=1Ch. 5.2 - Prob. 2CPCh. 5.2 - Prob. 3CPCh. 5.2 - Prob. 4CPCh. 5.2 - Prob. 5CPCh. 5.2 - Prob. 6CPCh. 5.2 - Verify each identity. a. tan3x=tanxsec2xtanx b....Ch. 5.2 - In Exercises 1 and 2, fill in the blanks. An...Ch. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - In Exercises 3-8, fill in the blank to complete...Ch. 5.2 - In Exercises 3-8, fill in the blank to complete...Ch. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 29ECh. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Verifying a Trigonometric In Exercises 37-42,...Ch. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Determining Trigonometric Identities In Exercises...Ch. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Verifying a Trigonometric identity In Exercise...Ch. 5.2 - Verifying a Trigonometric identity In Exercise...Ch. 5.2 - Verifying a Trigonometric identity In Exercise...Ch. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Using Cofunction identities In Exercises 55 and 56...Ch. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 58ECh. 5.2 - Verifying a Trigonometric Identity In Exercises...Ch. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Shadow Length The length s of a shadow cast by a...Ch. 5.2 - Prob. 63ECh. 5.2 - Prob. 64ECh. 5.2 - Prob. 65ECh. 5.2 - Prob. 66ECh. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Prob. 69ECh. 5.2 - Prob. 70ECh. 5.3 - Checkpoint Solve sinx2=sinxCh. 5.3 - Prob. 2CPCh. 5.3 - Prob. 3CPCh. 5.3 - Prob. 4CPCh. 5.3 - Prob. 5CPCh. 5.3 - Prob. 6CPCh. 5.3 - Prob. 7CPCh. 5.3 - Prob. 8CPCh. 5.3 - Prob. 9CPCh. 5.3 - Checkpoint Find all solutions of sin2x+2sinx1=0 in...Ch. 5.3 - Checkpoint Use the equation for the surface area...Ch. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Vocabulary: Fill in the blanks. 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Prob. 40ECh. 5.4 - Evaluating a Trigonometric Expression In Exercises...Ch. 5.4 - Prob. 42ECh. 5.4 - Evaluating a Trigonometric Expression In Exercises...Ch. 5.4 - Prob. 44ECh. 5.4 - Evaluating a Trigonometric Expression In Exercises...Ch. 5.4 - Prob. 46ECh. 5.4 - Evaluating a Trigonometric Expression In Exercises...Ch. 5.4 - Prob. 48ECh. 5.4 - Evaluating a Trigonometric Expression In Exercises...Ch. 5.4 - Prob. 50ECh. 5.4 - Evaluating a Trigonometric Expression In Exercises...Ch. 5.4 - Prob. 52ECh. 5.4 - An Application of a Sum or Difference Formula In...Ch. 5.4 - An Application of a Sum or Difference Formula In...Ch. 5.4 - An Application of a Sum or Difference Formula In...Ch. 5.4 - Prob. 56ECh. 5.4 - Verifying a Trigonometric Identity In Exercises...Ch. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Verifying a Trigonometric Identity In Exercises...Ch. 5.4 - Prob. 62ECh. 5.4 - Verifying a Trigonometric Identity In Exercises...Ch. 5.4 - Verifying a Trigonometric Identity In Exercises...Ch. 5.4 - Prob. 65ECh. 5.4 - Prob. 66ECh. 5.4 - Prob. 67ECh. 5.4 - Deriving a Reduction Formula In Exercises 65-68,...Ch. 5.4 - Solving a Trigonometric Equation In Exercises...Ch. 5.4 - Prob. 70ECh. 5.4 - Solving a Trigonometric Equation In Exercises...Ch. 5.4 - Prob. 72ECh. 5.4 - Solving a Trigonometric Equation In Exercises...Ch. 5.4 - Prob. 74ECh. 5.4 - Prob. 75ECh. 5.4 - Prob. 76ECh. 5.4 - Prob. 77ECh. 5.4 - Prob. 78ECh. 5.4 - Prob. 79ECh. 5.4 - Prob. 80ECh. 5.4 - Prob. 81ECh. 5.4 - Prob. 82ECh. 5.4 - Prob. 83ECh. 5.4 - Prob. 84ECh. 5.4 - Prob. 85ECh. 5.4 - Prob. 86ECh. 5.4 - Prob. 87ECh. 5.4 - Prob. 88ECh. 5.4 - Prob. 89ECh. 5.4 - Prob. 90ECh. 5.4 - Prob. 91ECh. 5.4 - Prob. 92ECh. 5.4 - Prob. 93ECh. 5.4 - Prob. 94ECh. 5.4 - Prob. 95ECh. 5.4 - Prob. 96ECh. 5.4 - Prob. 97ECh. 5.4 - Prob. 98ECh. 5.4 - Prob. 99ECh. 5.4 - Prob. 100ECh. 5.4 - Prob. 101ECh. 5.4 - Prob. 102ECh. 5.5 - Solve cos2x+cosx=0.Ch. 5.5 - Use the conditions below to find sin2,cos2, and...Ch. 5.5 - Prob. 3CPCh. 5.5 - Prob. 4CPCh. 5.5 - 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Using a Double-Angle Formula In Exercises 15 20,...Ch. 5.5 - Using a Double-Angle Formula In Exercises 15 20,...Ch. 5.5 - Evaluating Functions Involving Double Angles In...Ch. 5.5 - Evaluating Functions Involving Double Angles In...Ch. 5.5 - Evaluating Functions Involving Double Angles In...Ch. 5.5 - Evaluating Functions Involving Double Angles In...Ch. 5.5 - Deriving a Multiple-Angle Formula Rewrite cos4x in...Ch. 5.5 - Prob. 26ECh. 5.5 - Reducing Powers In Exercises 2734, use the...Ch. 5.5 - Prob. 28ECh. 5.5 - Reducing Powers In Exercises 2734, use the...Ch. 5.5 - Prob. 30ECh. 5.5 - Reducing Powers In Exercises 2734, use the...Ch. 5.5 - Prob. 32ECh. 5.5 - Reducing Powers In Exercises 2734, use the...Ch. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Using Half-Angle Formulas In Exercises 35-40, use...Ch. 5.5 - Prob. 37ECh. 5.5 - Prob. 38ECh. 5.5 - Using Half-Angle Formulas In Exercise 3540, use...Ch. 5.5 - Using Half-Angle Formulas In Exercise 3540, use...Ch. 5.5 - Using Half-Angle Formulas In Exercises 41-44, use...Ch. 5.5 - 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In...Ch. 5.CR - Prob. 20CRCh. 5.CR - Prob. 21CRCh. 5.CR - Prob. 22CRCh. 5.CR - Prob. 23CRCh. 5.CR - Prob. 24CRCh. 5.CR - 5.2 Verifying a Trigonometric Identity. In...Ch. 5.CR - Prob. 26CRCh. 5.CR - 5.3 Solving a Trigonometric Equation In Exercises...Ch. 5.CR - 5.3 Solving a Trigonometric Equation In Exercises...Ch. 5.CR - 5.3 Solving a Trigonometric Equation In Exercises...Ch. 5.CR - 5.3 Solving a Trigonometric Equation In Exercises...Ch. 5.CR - 5.3 Solving a Trigonometric Equation In Exercises...Ch. 5.CR - 5.3 Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Solving a Trigonometric Equation In Exercises...Ch. 5.CR - Using Inverse Functions In Exercises 43-46, solve...Ch. 5.CR - Using Inverse Functions. In Exercises 43-46, solve...Ch. 5.CR - Using Inverse Functions In Exercises 43-46, solve...Ch. 5.CR - Prob. 46CRCh. 5.CR - 5.4 Evaluating Trigonometric Functions In...Ch. 5.CR - 5.4 Evaluating Trigonometric Functions In...Ch. 5.CR - Prob. 49CRCh. 5.CR - Prob. 50CRCh. 5.CR - Prob. 51CRCh. 5.CR - Rewriting a Trigonometric Expression In Exercises...Ch. 5.CR - Evaluating a Trigonometric Expression In Exercises...Ch. 5.CR - Evaluating a Trigonometric Expression In Exercises...Ch. 5.CR - Evaluating a Trigonometric Expression In Exercises...Ch. 5.CR - Evaluating a Trigonometric Expression In Exercises...Ch. 5.CR - Verifying a Trigonometric Identity In Exercises...Ch. 5.CR - Verifying a Trigonometric Identity In Exercises...Ch. 5.CR - Verifying a Trigonometric Identity In Exercises...Ch. 5.CR - Verifying a Trigonometric Identity In Exercises...Ch. 5.CR - Solving a Trigonometric Equation. In Exercises 61...Ch. 5.CR - Solving a Trigonometric Equation. In Exercises 61...Ch. 5.CR - 5.5 Evaluating Functions Involving Double Angles....Ch. 5.CR - 5.5 Evaluating Functions Involving Double Angles....Ch. 5.CR - Verifying a Trigonometric Identity In Exercises 65...Ch. 5.CR - Verifying a Trigonometric Identity In Exercises 65...Ch. 5.CR - Reducing Powers In Exercises 67 and 68, use the...Ch. 5.CR - Reducing Powers In Exercises 67 and 68, use the...Ch. 5.CR - Prob. 69CRCh. 5.CR - Prob. 70CRCh. 5.CR - Prob. 71CRCh. 5.CR - Prob. 72CRCh. 5.CR - Prob. 73CRCh. 5.CR - Prob. 74CRCh. 5.CR - Prob. 75CRCh. 5.CR - Prob. 76CRCh. 5.CR - Prob. 77CRCh. 5.CR - Prob. 78CRCh. 5.CR - Prob. 79CRCh. 5.CR - Prob. 80CRCh. 5.CR - Prob. 81CRCh. 5.CR - Prob. 82CRCh. 5.CR - Prob. 83CRCh. 5.CR - Prob. 84CRCh. 5.CR - Prob. 85CRCh. 5.CT - Use the conditions csc=52 and tan0 to find the...Ch. 5.CT - Prob. 2CTCh. 5.CT - Prob. 3CTCh. 5.CT - Prob. 4CTCh. 5.CT - Prob. 5CTCh. 5.CT - Prob. 6CTCh. 5.CT - In Exercises 5 10, verify the identity....Ch. 5.CT - Prob. 8CTCh. 5.CT - Prob. 9CTCh. 5.CT - Prob. 10CTCh. 5.CT - Prob. 11CTCh. 5.CT - Prob. 12CTCh. 5.CT - Prob. 13CTCh. 5.CT - Prob. 14CTCh. 5.CT - Prob. 15CTCh. 5.CT - Prob. 16CTCh. 5.CT - Prob. 17CTCh. 5.CT - Prob. 18CTCh. 5.CT - Prob. 19CTCh. 5.CT - Cheyenne, Wyoming, has a latitude of 41N. At this...Ch. 5.CT - Prob. 21CTCh. 5.PS - Prob. 1PSCh. 5.PS - Prob. 2PSCh. 5.PS - Prob. 3PSCh. 5.PS - Prob. 4PSCh. 5.PS - Prob. 5PSCh. 5.PS - Prob. 6PSCh. 5.PS - Prob. 7PSCh. 5.PS - Prob. 8PSCh. 5.PS - Prob. 9PSCh. 5.PS - Hours of Daylight. The number of hours of daylight...Ch. 5.PS - Prob. 11PSCh. 5.PS - Piston Heights. The heights h in inches of pistons...Ch. 5.PS - Prob. 13PSCh. 5.PS - Prob. 14PSCh. 5.PS - Prob. 15PSCh. 5.PS - Prob. 16PS
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