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

Problem

Let f(x)=sin⁡−1x+cos⁡−1xf(x)=\sin^{-1}x+\cos^{-1}x. Then π2\frac{\pi}{2} is equal to (1) f(−12)f\left(-\frac{1}{2}\right) (2) f(k2−2k+3)f(k^2-2k+3), k∈Rk\in\mathbb{R} (3) f(11+k2)f\left(\frac{1}{1+k^2}\right), k∈Rk\in\mathbb{R} (4) f(−2)f(-2)

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