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Chapter 7: Q. 34 (page 503)

In Problem 28-44 Establish each identity

csc胃-sin胃=cos胃cot胃

Short Answer

Expert verified

LHS=RHS

Step by step solution

01

Step 1. Given information is

csc胃-sin胃=cos胃cot胃

02

Step 2. We know that cscθ=1sinθ

csc胃-sin胃=1sin胃-sin胃=1-sin2胃sin胃

03

Step 3. Solving using trigonometry identity we get

1-sin2胃sin胃=cos2胃sin胃=cos胃cot胃

hence proved

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