Home
Class 12
MATHS
If sin^(-1) x +sin^(-1)y +sin^(-1) z =(3...

If `sin^(-1) x +sin^(-1)y +sin^(-1) z =(3pi)/(2)`, then find the value of
`x^(100) +y^(100) +z^(100) -(9)/(x^(101)+y^(101)+z^(101))`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If sin^(-1) (1-x) -2"sin"^(-1)x =(pi)/(2) , then find the value of x.

If sin^(-1)x +sin^(-1)y =(2pi)/(3) , then find the value of cos^(-1)x +cos^(-1)y .

Find x, if sin^(-1)x +sin^(-1)2x =(pi)/(3) .

If sin^-1 x+sin^-1 y +sin^-1 z=pi/2 , prove that x^2+y^2+z^2+2xyz=1 .

If cos^(-1) x +cos^(-1)y +cos^(-1)z =pi , then prove that x^(2)+y^(2)+z^(2)+2xyz=1 .

Find the derivate of y = (3 - 2x)sin^(-1)2x .

Find (dy)/(dx) . y=x^(sin^(-1)x

Find the derivate of : y = sin^(–1) (2x √(1−x2))

If y = cos^(3)(sin x) , find the value of (d y)/(dx) at x=(pi)/(4) .

If sin^-1 x +sin^-1 y + sin ^-1 z=pi , prove that xsqrt(1-x^2)+ysqrt(1-y^2)+zsqrt(1-z^2)=2xyz