Step 1 Recall that cosine has period 2. We must first recognize that 8 is greater than 27. We also note that 8x is evenly divisible by 2x. Therefore, we can simplify by rewriting 8 as the sum of a multiple of 2 and 0. cos(8x) = cos(4✔ (2x) + 0) Step 2 By rewriting cos(8x) as cos(4(2x) + 0) we can conclude that cos(8x) is equivalent to which of the following? cos (1) O cos(x) O cos(4) s(²) O cos O cos(0) X Thus, we have the following result. cos(8x)=0 X

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Step 1
Recall that cosine has period 27. We must first recognize that 8 is greater than 27. We also note that 8 is evenly divisible by 2x. Therefore, we can simplify by rewriting 8 as the sum of a multiple of 2 and 0.
cos(8x) = cos(
cos
COS (1)
O cos(x)
O cos(4)
cos(4
Step 2
By rewriting cos(8) as cos(4(2x) + 0) we can conclude that cos(8) is equivalent to which of the following?
cos(+7)
O cos(0)
Thus, we have the following result.
cos(8x) = 0
+0)
X
(2x) +
Transcribed Image Text:Step 1 Recall that cosine has period 27. We must first recognize that 8 is greater than 27. We also note that 8 is evenly divisible by 2x. Therefore, we can simplify by rewriting 8 as the sum of a multiple of 2 and 0. cos(8x) = cos( cos COS (1) O cos(x) O cos(4) cos(4 Step 2 By rewriting cos(8) as cos(4(2x) + 0) we can conclude that cos(8) is equivalent to which of the following? cos(+7) O cos(0) Thus, we have the following result. cos(8x) = 0 +0) X (2x) +
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