75^ - 75^ = - Vidyadip

MCQ

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

✓
$2\sqrt 3 $
B
$2 + \sqrt 3 $
C
$2 - \sqrt 3 $
D
None of these

✓

Answer

Correct option: A.

$2\sqrt 3 $

a
(a) $\tan \,{75^o} - \cot \,{75^o} = \cot \,{15^o} - \cot \,{75^o}$

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

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