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Chapter 7: Q. 29 (page 503)

In Problems 28 鈥� 44, establish each identity.

sin2胃1+cot2胃=1

Short Answer

Expert verified

The given identity is established.

Step by step solution

01

Step 1. Given Information  

The given expression issin2胃1+cot2胃=1.

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

sin2胃1+cot2胃=sin2胃csc2胃1+cot2胃=csc2胃=sin2胃脳1sin2胃csc胃=1sin胃=1

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

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