Tan 75° - cot 75° =

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3.Trigonometrical Ratios, Functions and Identities

easy

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

A

$2\sqrt 3 $

B

$2 + \sqrt 3 $

C

$2 - \sqrt 3 $

D

None of these

Solution

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

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

Standard 11

Mathematics

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