If 5 sinθ - 4 cosθ =0, 0° (5sinθ + 2cosθ)/(5sinθ+3cosθ) is :

If 5 sinθ - 4 cosθ =0, 0° < θ < 90°, then the value of $\frac{5sinθ + 2cosθ}{5sinθ+3cosθ}$ is :

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. $\frac{6}{7}$

5 sinθ - 4 cosθ =0

tan = 4/5

$\frac{5sinθ + 2cosθ}{5sinθ+3cosθ}$ Divide by cosθ in denominator and numerator

= (5 tanθ + 2)/ 5 tanθ +3

put the value of tan in the above equation

5(4/5) +2 /5 (4/5) +3 = 6/7

SSC CGL 2022 PYQ — Question 67