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Trigonometric Identities

Simplify : 1+...

Question

Simplify : $\frac{1 + 2 s i n x c o s x}{(s i n x + c o s x)^{2}}$

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Solution

$\frac{1 + 2 s i n x c o s x}{(s i n x + c o s x)^{2}}$ = $\frac{1 + 2 s i n x c o s x}{(s i n^{2} x + c o s^{2} x + 2 s i n x . c o s x}$ = $\frac{1 + 2 s i n x c o s x}{1 + 2 s i n x c o s x}$ = 1

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