CUET Preparation Today
If cosec θ + cot θ = x; what is the value of cosecθ.cotθ ? |
\(\frac{1}{4}\)(x2 - \(\frac{1}{x^2}\)) 2 -1 1 |
\(\frac{1}{4}\)(x2 - \(\frac{1}{x^2}\)) |
cosec θ + cot θ = x ⇒ cosec θ - cot θ = \(\frac{1}{x}\) 4cosecθ.cotθ = (cosecθ + cotθ)2 - (cosecθ - cotθ)2 ⇒ 4cosecθ.cotθ = x2 - \(\frac{1}{x^2}\) ⇒ cosecθ.cotθ = \(\frac{1}{4}\)(x2 - \(\frac{1}{x^2}\)) |
