If , prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If sin⁡−1x+sin⁡−1y+sin⁡−1z=π\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=\pi, prove that x1−x2+y1−y2+z1−z2=2xyzx\sqrt{1-x^2}+y\sqrt{1-y^2}+z\sqrt{1-z^2}=2xyz.

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