Question

The value of $\frac{\tan {45}^{\circ }}{\sin {30}^{\circ }+\cos {60}^{\circ }}$ is

• A. 1
• B. $\frac{1}{\sqrt{2}}$
• C. $\frac{1}{2}$
• D. $\sqrt{2}$

Answer 1

Answer: (A)

1

$tan{45}^{\circ }=1$

$sin{30}^{\circ }=\frac{1}{2}$

$cos{60}^{\circ }=\frac{1}{2}$

$\therefore \frac{tan{45}^{\circ }}{sin{30}^{\circ }+cos{60}^{\circ }}=\frac{1}{\frac{1}{2}+\frac{1}{2}}=\frac{1}{1}=1$