Question

The value of 1/1+cos θ + 1/1-cos θ =

A) 2 sec²θ

B) 2secθ

C) 2cosec²θ

D) 2cosecθ

Answer 1

Correct option is: C) \(2cosec^2 \theta\)

\(\frac 1{1+ cos\theta} + \frac 1{1-cos\theta} = \frac {1-cos\theta + 1 + cos \theta}{(1+ cos \theta (1-cos\theta)} = \frac 2{1-cos^2\theta}\)

= \(\frac 2{sin^2\theta} = 2\, cosec^2\theta\)

Answer 2

Correct option is: C) 2cosec²θ