Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Question

Answer each of the following questions in one word or one sentence or as per exact requirement of the question: Writ the value of sin (cot –1 x).

Philoid · Accepted Answer

Given sin (cot^-1 x)

Let cot^-1 x = θ

⇒ x = cot θ

We know that 1 + cot² θ = cosec² θ

⇒ 1 + x² = cosec² θ

We know that cosec θ = 1/sin θ