Trigonometric Identities Question 362
Question: $ \tan 75{}^\circ -\cot 75{}^\circ = $
[MNR 1982; Pb. CET 1990, 2000]
Options:
A) $ 2\sqrt{3} $
B) $ 2+\sqrt{3} $
C) $ 2-\sqrt{3} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \tan ,75^{o}-\cot ,75^{o}=\cot ,15^{o}-\cot ,75^{o} $ $ =(2+\sqrt{3})-(2-\sqrt{3})=2\sqrt{3} $ .