SSC CGL 2019 PYQ — Question 51

SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q51

If 5sinθ - 4cosθ = 0, 0° < θ < 90°, then the value of  is ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 ie 2/7.

5sinθ - 4cosθ = 0

(sinθ / cosθ) = 4/5

tanθ = 4/5

5tanθ = 4

Now,

= (4 - 2) / (4 + 3)

= 2/7