Find the value of \(\frac{cos\;θ\; .\; sec\;θ\;. \;sin\;θ\;.\; cosec\;θ}{cosec^2θ \;-\; cot^2θ}\) .
Answer & explanation
Correct answer: option 2
\(\frac{cos\;θ\; .\; sec\;θ\;. \;sin\;θ\;.\; cosec\;θ}{cosec^2θ \;-\; cot^2θ}\)
= 1 (because cosθ.secθ = 1), so sinθ.cosecθ = 1 ⇒ cosec2θ - cot2θ = 1