Identify the set of all real angles for which the identity is NOT defined.

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Identify the set of all real angles for which the identity

1+\cot^2\theta=\csc^2\theta

is NOT defined. (a)

\theta=\dfrac{(2n+1)\pi}{2},\; n\in\mathbb Z

(b)

\theta=n\pi,\; n\in\mathbb Z

(c)

\theta=\dfrac{n\pi}{2},\; n\in\mathbb Z

(d)

\theta=(2n+1)\pi,\; n\in\mathbb Z