\[\tan 75{^\circ} - \cot 75{^\circ} =] | MATH - FUNDAMENTAL TRIGONOMETRICAL | SolveeIt | Solveeit

Today, August 18

Question

$\tan 75{^\circ} - \cot 75{^\circ} =$

A

$2\sqrt{3}$

B

$2 + \sqrt{3}$

C

$2 - \sqrt{3}$

D

None of these

Answer

$2\sqrt{3}$

Explanation

Solution

$\tan 75^{o} - \cot 75^{o} = \cot 15^{o} - \cot 75^{o}$

$= (2 + \sqrt{3}) - (2 - \sqrt{3}) = 2\sqrt{3}$ .