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
SSC CGL Tier II Quant - 11/09/2019 • Quantitative Aptitude • Q51
If 5sinθ - 4cosθ = 0, 0° < θ < 90°, then the value of
is ?
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