If and ,…

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

Problem

If f(x)=cos⁡−1(cos⁡(x+1))f(x)=\cos^{-1}(\cos(x+1)) and g(x)=sin⁡−1(sin⁡(x+2))g(x)=\sin^{-1}(\sin(x+2)), then (1) f(1)+g(1)=π−1f(1)+g(1)=\pi-1 (2) f(1)>g(1)f(1)>g(1) (3) f(2)>g(2)f(2)>g(2) (4) f(2)<g(2)f(2)<g(2)

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