Find the value of \(\frac{cos\;θ\; .\; sec\;θ\;. \;tan\;θ\;.\; cot\;θ}{sec^2θ \;-\; tan^2θ}\) .
Answer & explanation
Correct answer: option 3
\(\frac{cos\;θ\; .\; sec\;θ\;. \;tan\;θ\;.\; cot\;θ}{sec^2θ \;-\; tan^2θ}\)
= 1 (because cosθ.secθ = 1), so tanθ.cotθ = 1 ⇒ sec2θ - tan2θ = 1