SSC CGL 2023 PYQ — Question 55

SSC CGL - 18 July 2023 - Shift 2 • Quantitative Aptitude • Q55

If sinA = - 35\frac{3}{5}, A lies in III quadrant, the value of secA is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. - 54\frac{5}{4}.

Given that

If sinA = - 35\frac{3}{5},

A lies in III quadrant

This means that the tan A and cot A values are only positive.

According to the question

⇒ SinA = - 35\frac{3}{5} = P/H

⇒ B2 = H2 - P2

⇒ B2 = 25 - 9 = 16

⇒ B = 4

As we know,

secA = H/B = - 5/4