If sin A = 1 over 2 , then the value of (tan A + cos A) is:

If sin A = $1 \over 2$ , then the value of (tan A + cos A) is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. $5\over 2 \sqrt 3$ .

Sin A = $1 \over 2$

So,

A = 30°

(tan A + cos A) = tan30° + cos30°

= $\frac{1}{\sqrt3}+\frac{\sqrt3}{2}$

= $\frac{2+3}{2\sqrt3}$

= $5\over 2 \sqrt 3$

SSC CPO 2022 PYQ — Question 150