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Chapter 5: Q 3. (page 495)

Use Pythagorean identities to rewrite each of the following trigonometric expressions.

tan2x=_______

Short Answer

Expert verified

The obtained result is1cos2x-1.

Step by step solution

01

Step 1. Given information.

Consider the given expression.

tan2x

02

Step 2. Apply the Pythagorean identities to rewrite the expression.

The Pythagorean identity is defined as,

sin2x+cos2x=1

Use the identity to write the given expression.

sin2x+cos2x=1sin2x=1-cos2xsin2xcos2x=1-cos2xcos2xtan2x=1cos2x-cos2xcos2x=1cos2x-1

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