Question : If $\sin A=\frac{1}{2}$, then the value of $(\tan A+\cos A)$ is:
Option 1: $\frac{2}{3 \sqrt{3}}$
Option 2: $\frac{3}{2 \sqrt{3}}$
Option 3: $\frac{5}{2 \sqrt{3}}$
Option 4: $\frac{5}{3 \sqrt{3}}$
Correct Answer: $\frac{5}{2 \sqrt{3}}$
Solution :
Given: $\sin A=\frac{1}{2}$
⇒ $\sin A=\sin 30^\circ$
⇒ $ A= 30^\circ$
$\therefore (\tan A+\cos A)$
= $(\tan 30^\circ+\cos 30^\circ)$
= $\frac{1}{\sqrt3}+\frac{\sqrt3}{2}$
= $\frac{2+3}{2\sqrt3}$
= $\frac{5}{2\sqrt3}$
Hence, the correct answer is $\frac{5}{2\sqrt3}$.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
