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Inverse Trigonometric Functions question

2025 · 8 Apr · Shift 2 · Q34

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2025 · 8 Apr · Shift 2 · Q34

Inverse Trigonometric Functions question

2025 · 8 Apr · Shift 2 · Q34

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The value of

\cot^{-1} \left( \frac{\sqrt{1 + \tan^2(2)} - 1}{\tan(2)} \right) - \cot^{-1} \left( \frac{\sqrt{1 + \tan^2\left(\frac{1}{2}\right)} + 1}{\tan\left(\frac{1}{2}\right)} \right)

is equal to

A
$\pi - \frac{3}{2}$
B
$\pi + \frac{5}{2}$
C
$\pi - \frac{5}{4}$
D
$\pi + \frac{3}{2}$

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