The sum of the maximum and minimum values of the function is

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

The sum of the maximum and minimum values of the function f(x)=11+(2cos⁡x−4sin⁡x)2f(x)=\frac{1}{1+(2\cos x-4\sin x)^2} is (1) 2221\frac{22}{21} (2) 2120\frac{21}{20} (3) 2220\frac{22}{20} (4) 2111\frac{21}{11}

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