Question

If $\theta =45$ then $\frac{2\tan \theta }{1+{\tan }^2\theta }$ is :

• A. $1$
• B. $0$
• C. $2$
• D. $3$

Answer 1

The correct option is A $1$

$\frac{2\tan \theta }{1+\tan \theta }$

$=\frac{2\tan {45}^o}{1+{\tan }^2{45}^o}$

$=\frac{2\times 1}{1+1}=\frac{2}{2}=1$

Hence, option A is correct.