inv-trig

Question: ${{\cos }^{-1}}\left( \frac{3+5\cos x}{5+3\cos x} \right)$ is equal to

1) ${{\tan }^{-1}}\left( \frac{1}{2}\tan \frac{x}{2} \right)$

2) $2{{\tan }^{-1}}\left( 2\tan \frac{x}{2} \right)$

3) $\frac{1}{2}{{\tan }^{-1}}\left( 2\tan \frac{x}{2} \right)$

4) $2{{\tan }^{-1}}\left( \frac{1}{2}\tan \frac{x}{2} \right)$

Solution:

Explanation: No Explanation

Inverse trigonometric functions

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