If and , then is periodic with…

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

Problem

If f(x)=81−x+81+xf(x) = \sqrt{\frac{8}{1-x} + \frac{8}{1+x}} and g(x)=4f(sin⁡x)+4f(cos⁡x)g(x) = \frac{4}{f(\sin x)} + \frac{4}{f(\cos x)}, then g(x)g(x) is periodic with period (1) π2\frac{\pi}{2} (2) π\pi (3) 3π2\frac{3\pi}{2} (4) 2π2\pi

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