If 5 sinθ - 4cosθ =0, 0° (5sinθ -cosθ)/(5sinθ +3cosθ)

If 5 sinθ - 4cosθ =0, 0° < θ < 90°, then the value of $\frac{5sinθ -cosθ}{5sinθ +3cosθ}$

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. $\frac{3}{7}$

We have given,

5 sinθ - 4 cosθ =0

5 sin θ = 4 cos θ

sin θ/cos θ = 4/5

So, the value of $\dfrac{5sinθ -cosθ}{5sinθ +3cosθ}$ = (5 × 4 - 5)/(5 × 4 + 3 × 5) = 15/35 = 3/7

SSC CGL 2022 PYQ — Question 53