Question

Cot(pi/2-2cot-1root3)

Answer 1

Hi,

Here is your answer !
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$\cot( \frac{\pi}{2} - 2 { \cot}^{ - 1} \sqrt{3} ) \\ \\ = \cot( \frac{\pi}{2} - 2 \times \frac{\pi}{6} ) \: \: \: \: \: | \because {\cot}^{ - 1} \sqrt{3} = \frac{\pi}{6} | \\ \\ = \cot( \frac{\pi}{2} - \frac{\pi}{3} ) \\ \\ = \cot( \frac{3\pi - 2\pi}{6} ) \\ \\ = \cot( \frac{\pi}{6} ) = \sqrt{3}$