PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
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Chapter 5.5, Problem 81E
To determine

Torepresent:The expression cos6x+cos2x as a product usingthe sum-to-product formula.

Expert Solution & Answer
Check Mark

Answer to Problem 81E

The expression cos6x+cos2x can be represented as 2cos4xcos2x .

Explanation of Solution

Given information:

The given expressionis cos6x+cos2x .

Calculation:

Consider the sum-to-product formula.

  cosu+cosv=2cos(u+v2)cos(u−v2)

Let the value of u is 6x and v is 2x from the given expression.Substitute these values in the above equation.

  cos6x+cos2x=2cos(6x+2x2)cos(6x−2x2)=2cos(8x2)cos(4x2)=2cos4xcos2x

Therefore, the expression cos6x+cos2x can be represented as 2cos4xcos2x .

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Chapter 5.5, Problem 80E
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Chapter 5.5, Problem 82E

Chapter 5 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10E
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