given-that-sin-1-x-sin-1-y-c-show-that-dy-dx-1-y-2-1-x-2-0-

Question Number 44623 by mondodotto@gmail.com last updated on 02/Oct/18

given that \sin^{- 1} x + \sin^{- 1} y = c

show that \frac{d y}{d x} + \sqrt{\frac{1 - y^{2}}{1 - x^{2}}} = 0

Answered by tanmay.chaudhury50@gmail.com last updated on 02/Oct/18

\frac{d}{d x} ({s i n}^{- 1} x + {s i n}^{- 1} y) = \frac{d c}{d x}

\frac{1}{\sqrt{1 - x^{2}}} + \frac{1}{\sqrt{1 - y^{2}}} \frac{d y}{d x} = 0

\frac{\sqrt{1 - y^{2}}}{\sqrt{1 - x^{2}}} + \frac{d y}{d x} = 0