SSC CGL 2020 PYQ — Question 70

SSC CGL - 7 March 2020 Shift 2 • Quantitative Aptitude • Q70

If (SinA + CosA)/CosA = 17/12, then the value of (1 - CosA)/SinA is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 1/5

⇒ (SinA + CosA)/CosA = 17/12

⇒ TanA + 1 = 17/12

⇒ TanA = 5/12

⇒ Base = 12, Perpendicular = 5, Hypotenuse = 13

⇒  (1 - CosA)/SinA

⇒ (1 - 12/13)/(5/13)

⇒ 1/5