How do you prove $sin x + cot x cos x = csc x$ ?

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Answer 1 · 2015-11-04T14:56:20

Prove sin x + cot x.cos x = csc x

Transform the left side:
$sin x + (cos x/sin x).cos x = sin x + (cos^2 x)/(sin x) =$
$= (sin^2 x + cos^2 x)/(sin x) = 1/ (sin x) = csc x$

How do you prove sin x + cot x cos x = csc xsin x + cot x cos x = csc x?