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Chapter 5: Q 7. (page 495)

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

sin2x=_____

Short Answer

Expert verified

sin2胃=1-cos2胃2

Step by step solution

01

Step 1. Given information.

Consider the given expression,

sin2x

02

Step 2. Explanation.

Write the given trigonometric expression in cosine form.

cos2胃=cos胃cos胃-sin胃sin胃=cos2胃-sin2胃=1-sin2胃-sin2胃cos2胃=1-2sin2胃2sin2胃=1-cos2胃sin2胃=1-cos2胃2

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