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Chapter 7: Q. 49 (page 496)

Establish each identity.

cot2胃=cot2胃-12cot胃

Short Answer

Expert verified

Thus the given identity exists.

Step by step solution

01

Step 1. Given

given expression

cot2胃=cot2胃-12cot胃

02

Step 2. Concept

we will use standard trigonometric formula's for solving the given expression.

03

Step 3. Calculation

Consider

cot2胃=1tan2胃Usingdouble-angleformulatan2胃=2tan胃1-tan2胃Now1tan2胃=1-tan2胃2tan胃1-1cot2胃2cot胃=cot2胃-12cot胃

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Most popular questions from this chapter

In Problems 9鈥�36, find the exact value of each expression.

cossin-1-32

cos(伪+尾)=cos伪cos尾_______sin伪sin尾

Establish each identity.

(2cos2胃-1)2cos4胃-sin4胃=1-2sin2胃

In Problems 9鈥�36, find the exact value of each expression.

secsin-1-12

Establish each identity.

1-2cos2胃sin胃cos胃=tan胃-cot胃
See all solutions

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