Question

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

Answer 1

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

Explanation:

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`