Question

Find the value of:

$\frac{1+sin{30}^{\circ }}{cos{30}^{\circ }}+\frac{cos{30}^{\circ }}{1+sin{30}^{\circ }}$

• A. 4/√3
• B. 2/√3
• C. 1/√3
• D. √3/2

Answer 1

The correct option is A

4/√3

$\frac{1+sin{30}^{\circ }}{cos{30}^{\circ }}+\frac{cos{30}^{\circ }}{1+sin{30}^{\circ }}$

= $\frac{1+\frac{1}{2}}{\frac{\sqrt{3}}{2}}$ + $\frac{\frac{\sqrt{3}}{2}}{1+\frac{1}{2}}$

=$\frac{4}{\sqrt{3}}$