SSC CGL 2023 PYQ — Question 66

SSC CGL - 17 July 2023 - Shift 2 • Quantitative Aptitude • Q66

If tan π6\frac{π}{6} + sec π6\frac{π}{6} = x then find x.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. √3.

Given that

If tan π6\frac{π}{6} + sec π6\frac{π}{6} = x

We know the value

tan π6\frac{π}{6}= 1√3\frac{1}{√3} , 

sec π6\frac{π}{6}= 2​​​​√3\frac{2}{​​​​√3}

Calculation

⇒ x = tan π6\frac{π}{6} + sec π6\frac{π}{6} 

⇒ x = 1√3\frac{1}{√3} + 2​​​​√3\frac{2}{​​​​√3}

⇒ x = 3/√3

⇒ x = √3