A) \[2\tan 2\theta \]
B) \[2\cot 2\theta \]
C) \[\tan 2\theta \]
D) \[\cot 2\theta \]
Correct Answer: A
Solution :
\[\tan \left( \frac{\pi }{4}+\theta \right)-\tan \left( \frac{\pi }{4}-\theta \right)=\frac{1+\tan \theta }{1-\tan \theta }-\frac{1-\tan \theta }{1+\tan \theta }\] \[=\frac{4\tan \theta }{1-{{\tan }^{2}}\theta }=2\left( \frac{2\tan \theta }{1-{{\tan }^{2}}\theta } \right)=2\tan 2\theta \].
You need to login to perform this action.
You will be redirected in
3 sec
