Teaching UP TGT Mock Test Series 2025 Mathematics Differential Calculus Applications of Derivatives

What is the maximum value of the functions \(f(x) = \frac{1}{\tan x+\cot x},\) where \(0 < x < \frac{\pi}{2}?\)

1
\(\frac{1}{4}\)
2
\(\frac{1}{2}\)
3
1
4
2
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