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

Question

solve this
Q y = tan - 1 1 + sin   x 1 - sin   x find d y d x

Varun Rawat · Accepted Answer

y = tan-11 + sin x1 - sin x⇒y =tan-11 + cosπ2 - x1 - cosπ2 - x⇒y = tan-12 cos2π4 - x22 sin2π4 - x2⇒y = tan-1cotπ4 - x2⇒y =tan-1tanπ2 - π4 - x2⇒y = π4 + x2⇒dydx = 12

solve this Q. y = tan - 1 1 + sin x 1 - sin x find d y d x

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