If and , then which of the following…

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If x=cos⁡−1(cos⁡4)x=\cos^{-1}(\cos4) and y=sin⁡−1(sin⁡3)y=\sin^{-1}(\sin3), then which of the following holds? (1) x−y=1x-y=1 (2) x+y+1=0x+y+1=0 (3) x+2y=2x+2y=2 (4) x+y=3π−7x+y=3\pi-7

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