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Chapter 5: Q 5. (page 495)

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

cot2x=_____

Short Answer

Expert verified

The result is1sin2x-1.

Step by step solution

01

Step 1. Given information.

Consider the given expression.

cot2x

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=1cos2x=1-sin2xcos2xsin2x=1-sin2xsin2xcot2x=1sin2x-1

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