1.

Evaluate the following: (sec2 θ – 1) (cosec2 θ – 1)

Answer»

Given (sec2 θ – 1) (cosec2 θ – 1) 

= tan2 θ × cot2 θ [∵ sec2 θ – tan2 θ = 1; cosec2 θ – cot2 θ = 1] 

= tan2 θ × \(\frac{1}{tan^2\,θ}\)

= 1



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