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

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

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

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

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