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Chapter 7: Q. 48 (page 486)

In Problems 47鈥�72, establish each identity.

cos蟺2+胃=-sin胃

Short Answer

Expert verified

The given identity is established.

Step by step solution

01

Step 1. Given Information 

We are given an identity,

cos蟺2+胃=-sin胃

02

Step 2. Establishing the identity  

We will establish the given expression as an identity by simplifying one side to give the other side.

Using cos(伪+尾)=cos伪cos尾-sin伪sin尾, we get

cos蟺2+胃=cos蟺2cos胃-sin蟺2sin胃cos蟺2+胃=0脳cos胃-1脳sin胃cos蟺2+胃=-sin胃

Hence, the given expression is an identity.

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