If sin−1x+sin−1y+sin−1z=3π2, then the value of x100+y100+z100−9x101+y101+z101 is

Givensin−1x+sin−1y+sin−1z=3π2let sin−1x=sin−1y=sin−1z=π2⇒x=y=z=1x100+y100+z100−9x101+y101+z101=0

If sin−1x+sin−1y+sin−1z=3π2, then the value of x100+y100+z100−9x101+y101+z101 is

Givensin−1x+sin−1y+sin−1z=3π2let sin−1x=sin−1y=sin−1z=π2⇒x=y=z=1x100+y100+z100−9x101+y101+z101=0

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If $\sin^{- 1} x + \sin^{- 1} y + \sin^{- 1} z = \frac{3 π}{2}$ , then the value of $x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}}$ is

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

$\begin{array}{l} l e t \sin^{- 1} x = \sin^{- 1} y = \sin^{- 1} z = \frac{π}{2} \\ \Rightarrow x = y = z = 1 \\ x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}} = 0 \end{array}$

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If sin−1x+sin−1y+sin−1z=3π2, then the value of x100+y100+z100−9x101+y101+z101 is

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If $\sin^{- 1} x + \sin^{- 1} y + \sin^{- 1} z = \frac{3 π}{2}$ , then the value of $x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}}$ is