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Chapter 7: Q. 31 (page 503)

In Problems 28 鈥� 44, establish each identity.

1-cos胃sin胃+sin胃1-cos胃=2csc胃

Short Answer

Expert verified

The given identity is established.

Step by step solution

01

Step 1. Given Information  

The given expression is1-cos胃sin胃+sin胃1-cos胃=2csc胃

We have to establish each identity.

02

Step 2. Establishing the identity 

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

L.H.S

1-cos胃sin胃+sin胃1-cos胃=1-cos胃2+sin2胃sin胃1-cos胃=1+cos2胃-2cos胃+sin2胃sin胃1-cos胃=2-2cos胃sin胃1-cos胃=21-cos胃sin胃1-cos胃=2csc胃

Hence, L.H.S = R.H.S, and the given expression is an identity.

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