Question

Evaluate (cosec^2 θ – cot^2 θ)^2 . (cosec θ + cot θ)^2.

(a) 1

(b) 0

(c) (cosec^2 θ – cot^2 θ)^2

(d) (cosec θ + cot θ)^2

I had been asked this question in final exam.

My question comes from Trigonometric Identities topic in chapter Trigonometry of Mathematics – Class 10

Answer 1

Right choice is (d) (cosec θ + cot θ)^2

Best explanation: (cosec^2 θ – cot^2 θ)^2 . (cosec θ + cot θ)^2 = 1 (cosec θ + cot θ)^2

= (cosec θ + cot θ)^2