Trigonometric Identities Question 168
Question: $ \tan 15{}^\circ = $
[EAMCET 1981]
Options:
A) $ \frac{1}{3} $
B) $ \sqrt{3}-2 $
C) $ 2-\sqrt{3} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \tan 15^{o}=\tan (45^{o}-30^{o}) $ $ =\frac{1-1/\sqrt{3}}{1+1/\sqrt{3}}=\frac{\sqrt{3}-1}{\sqrt{3}+1}\times \frac{\sqrt{3}-1}{\sqrt{3}-1}=2-\sqrt{3} $ .