Inverse Trigonometric Functions Question 174

Question: The value of $ \cos ({{\tan }^{-1}}(\tan 2)) $ is

[AMU 2002]

Options:

A) $ \frac{1}{\sqrt{5}} $

B) $ -\frac{1}{\sqrt{5}} $

C) $ \cos 2 $

D) $ -\cos 2 $

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Answer:

Correct Answer: C

Solution:

$ \cos [{{\tan }^{-1}}(\tan 2)]=\cos 2 $ .