First slide

Trignometry

Question

Find the value of $\tan 105 °$

Easy

A

$(\frac{\sqrt{3} + 1}{1 - \sqrt{3}})$
B

$(\frac{\sqrt{2} + 1}{1 - \sqrt{3}})$
C

$(\frac{\sqrt{3} + 1}{2 - \sqrt{3}})$
D

0

Solution

$\tan 105 ° = \tan (60 ° + 45 °)$
$= \frac{\tan 60 ° + \tan 45 °}{1 - (\tan 60 °) (\tan 45 °)}$
$= \frac{\sqrt{3} + 1}{1 - \sqrt{3}}$

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