4sintheta = 5costheta
For the answer to the question above, Frst, divide both sides by cosθ(this is valid because cosθ ≠ 0 for a solution to exist): sinθ = 5cosθ ==> sinθ/cosθ = 5cosθ/cosθ ==> tanθ = 5, since sinθ/cosθ = tanθ. I hope my answer helped you.