solve this Q y = cot-11-sin x1+sin x find dydx - Maths - Continuity and Differentiability

Question

solve this
Q y = c o t - 1 1 - sin   x 1 + sin   x find d y d x

Varun Rawat · Accepted Answer

y = cot-11 -sin x1 + sin x⇒y = cot-11 - cosπ2 - x1 + cosπ2 - x⇒y = cot-12 sin2π4 - x22 cos2π4 - x2⇒y = cot-1tanπ4 - x2⇒y = cot-1cotπ2 - π4 - x2⇒y = π4 + x2⇒dydx = 12

solve this Q. y = c o t - 1 1 - sin x 1 + sin x find d y d x

solve this
Q. y = $c o t^{- 1} \sqrt{\frac{1 - \sin x}{1 + \sin x}}$ find $\frac{d y}{d x}$