Trigonometric Identities Question 34

Question: $ \frac{\cos 10^{o}+\sin 10^{o}}{\cos 10^{o}-\sin 10^{o}}= $

[MP PET 2002]

Options:

A) $ \tan 55^{o} $

B) $ \cot 55^{o} $

C) $ -\tan 35^{o} $

D) $ -\cot 35^{o} $

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Answer:

Correct Answer: A

Solution:

$ \frac{\cos 10^{o}+\sin 10^{o}}{\cos 10^{o}-\sin 10^{o}} $ $ =\tan (45^{o}+10^{o})=\tan 55^{o} $ .