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Derivative of Some Standard Functions

If cos^-1(y)=...

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If cos^-1(y)=sin^-1(x) , then locus of (x,y) is

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{sin}^{- 1} x + {sin}^{- 1} y = \frac{2 π}{3}

{cos}^{- 1} x - {cos}^{- 1} y = \frac{π}{3}

(x, y)

\sin^{- 1} x + \sin^{- 1} y = \frac{π}{3}

\cos^{- 1} x - \cos^{- 1} y = \frac{π}{6}

, find the values of x and y.

- 1 \leq x, y \leq 1

{sin}^{- 1} x + {sin}^{- 1} y = \frac{π}{2},

find the value of

{cos}^{- 1} x + {cos}^{- 1} y .

Q. If cos^-1x + cos^-1 y =

\frac{π}{3}

, then sin^-1 x + sin^-1 y =____________________.

{sin}^{- 1} x + {cos}^{- 1} y = \frac{2 π}{5}

{cos}^{- 1} x + {sin}^{- 1} y

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