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Chapter 7: Q. 12 (page 505)

Establish the identity

sin胃tan胃+cos胃=sec胃

Short Answer

Expert verified

Bywritngtan胃=sin胃cos胃wegetsin胃tan胃+cos胃=sec胃

Step by step solution

01

Step 1. Given information 

sin胃tan胃+cos胃=sec胃

02

Step 2. Calculations

sin胃tan胃+cos胃=sec胃TakeLHSsin胃tan胃+cos胃Weknowthattan胃=sin胃cos胃So,sin胃tan胃+cos胃=sin胃sin胃cos胃+cos胃=sin2胃+cos2胃cos胃=1cos胃=sec胃HenceLHS=RHS

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Most popular questions from this chapter

If tan伪=x+1and role="math" localid="1646425111199" tan尾=x-1,show that

role="math" localid="1646426027733" 2cot(伪-b)=x2

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

sincos-112

Establish each identity.

1+cos胃+sin胃1+cos胃-sin胃=sec胃+tan胃

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

cotsin-1-12

Establish each identity.

sin胃+cos胃cos胃-sin胃-cos胃sin胃=sec胃csc胃
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