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Question: Find the exact value of tan 150° using half-angle formula.


A ) - 33
B ) 33
C ) 3
D ) - 3

Steps to derive

1 tan 150° = 1 - cos 300osin 300o
 [Use tan x2 = 1 - cos xsin x, 150° = 300o2 .]

2 = 1 -12-32
 [Using cos 300° = 12; sin 300° = - 32.]

3 = 12 × - 23 = -  13 = -  33



Hence the right answer is Option A

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