Q1 of 46 Page 291

Evaluate the following :

C. (sec2θ – 1) (cosec2θ – 1)

We have


⇒


⇒ [∵, (1 – cos2 θ) = sin2 θ & (1 – sin2 θ = cos2 θ]


⇒ (sec2 θ – 1)(cosec2 θ – 1) = 1


Thus, (sec2 θ – 1)(cosec2 θ – 1) = 1.


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