Trigonometric Identities Question 23

Question: $ \frac{\cos 9{}^\circ +\sin 9{}^\circ }{\cos 9{}^\circ -\sin 9{}^\circ }= $

[EAMCET 1992; Kerala (Engg.) 2005]

Options:

A) $ \tan 54{}^\circ $

B) $ \tan 36{}^\circ $

C) $ \tan 18{}^\circ $

D) None of these

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Answer:

Correct Answer: A

Solution:

$ =\sin \theta .\sin \theta +\cos \theta .\cos \theta =1 $ $ =\tan ,( 45^{o}+9^{o} )=\tan 54^{o} $ .