If takes non-positive permissible value

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

If xx takes non-positive permissible value, then sin⁡−1x=\sin^{-1}x = (a) cos⁡−11−x2\cos^{-1}\sqrt{1-x^2} (b) −cos⁡−11−x2-\cos^{-1}\sqrt{1-x^2} (c) cos⁡−1x2−1\cos^{-1}\sqrt{x^2-1} (d) π−cos⁡−11−x2\pi - \cos^{-1}\sqrt{1-x^2}

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