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Chapter 7: Q. 39 (page 504)

In Problem28-44, Establish each identity

1+cos胃tan胃2=sin胃

Short Answer

Expert verified

The derivation of the equation1+cos胃tan胃2=sin胃 is

1+cos胃tan胃2=1+cos胃sin胃1+cos胃1+cos胃tan胃2=sin胃

Step by step solution

01

Step 1. Given data

The given equation for derivation is

1+cos胃tan胃2=sin胃

02

Step 2. Derivation

Take left-hand side expression Use half-angle formula tan胃2=sin胃1+cos胃

1+cos胃tan胃2=1+cos胃sin胃1+cos胃1+cos胃tan胃2=sin胃

Left-hand side expression is equal to the right-hand side expression

So identity is steblised

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