SSC CGL 2020 PYQ — Question 70

SSC CGL - 5th March 2020 Shift 1 • Quantitative Aptitude • Q70

If 5sinθ = 4, then the value of (secθ + 4cotθ)/(4tanθ - 5cosθ) is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 2

Understanding Application
We will use the basic principles of trigonometry to put the values in the given sum.

Given that, 5sinθ = 4

⇒ Sinθ = 4 / 5

By the given diagram we could put values in the sum as

⇒ (5 / 3 + 4 × (3 / 4))/(4 × (4 / 3) - 5 × (3 / 5))

⇒ (14 / 3) / (7 / 3)

⇒ 2