Simplify the following trigonometric expression sin3 x sin2

Simplify the following trigonometric expression sin^3 x + sin^2 x middot cot^2 x (a) 1 (b) sin^2 x (c) csc^2 x (d) 2 sin^2 x (e) 2 sin x

Solution

sin²x+sin²x cot²x

sin²x(1+cot²x)

1+cot²x=csc²x

Therefore

Sin²x csc²x =1

Correct option is a