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If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi, sho...

If `sin^(-1)x+sin^(-1)y+sin^(-1)z=pi`, show that `x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)`

Text Solution

Verified by Experts

The correct Answer is:
`=2 ( x^(2) y^(2) + y^(2)z^(2)+z^(2)x^(2))`
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