Question

Solve $\frac{2tan{45}^{\circ }}{1+ta{n}^2{45}^{\circ }}$

• A. $\sin {90}^{\circ }$
• B. $1$
• C. $\sin {45}^{\circ }$
• D. $0$

Answer 1

The correct option is B $1$

$\frac{2\tan {45}^{\circ }}{1+{\tan }^2{45}^{\circ }}$

$=\frac{2\tan {45}^{\circ }}{{\sec }^2{45}^{\circ }}$

$=2\sin {45}^{\circ }\cos {45}^{\circ }$

$=\sin {90}^{\circ }$

$=1$