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Chapter 5: Q.8 (page 495)

Double-angle identities: Use double-angle identities to rewrite each of the following trigonometric expressions until no exponents are involved.

sin4x=____

Short Answer

Expert verified

sin4x=14+cos4x+18-cos2x2

Step by step solution

01

Step 1. Given information.

Consider the given information,

sin4x=____

02

Step 2. Explanation.

Write the given trigonometric expression in simplified form.

sin4x=sin2x2=1-cos2x22=1+cos22x-2cos2x4=14+cos4x+124-cos2x2=14+cos4x+18-cos2x2

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