The minimum value of the function f(x)= x 1- ^2x + x 1- ^2x + x ^2x-1 + x ^2x-1

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

Problem

The minimum value of the function f(x)=sin⁡x1−cos⁡2x+cos⁡x1−sin⁡2x+tan⁡xsec⁡2x−1+cot⁡xcsc⁡2x−1f(x)=\frac{\sin x}{\sqrt{1-\cos^2x}}+\frac{\cos x}{\sqrt{1-\sin^2x}}+\frac{\tan x}{\sqrt{\sec^2x-1}}+\frac{\cot x}{\sqrt{\csc^2x-1}}, whenever it is defined, is (1) 4 (2) -2 (3) 0 (4) 2

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