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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions1 Mark
Question
Evaluate the following:
$\cot^{-1}\Big(\cot\frac{4\pi}{3}\Big)$
✓

Answer

We have
$\cot^{-1}\Big(\cot\frac{4\pi}{3}\Big)$
$=\cot^{-1}\Big[\cot\Big(\pi+\frac{\pi}{3}\Big)\Big]$
$=\cot^{-1}\Big(\cot\frac{\pi}{3}\Big)$
$=\frac{\pi}{3}$

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