Question

If 5 tan = 4, show that 5 sin – 3 cos

/5 sin + 2 cos =1/6​

Answer 1

Answer:

1/6

Step-by-step explanation:

Divide the numerator and denomenator by  cosθ

cosθ5sinθ+2cosθcosθ5sinθ−3cosθ⇒cosθ5sinθ+cosθ2cosθ3cosθ5sinθ−cosθ3cosθ⇒5tanθ+25tanθ−3

Substituting the value of 5tanθ, we get

⇒ 4+24−3=61