Question

Solve
sin θ = 4 cos θ

Answer 1

θ=arctan(4) or 75.96°

Explanation:

sinθ=4cosθ (given)

sinθ/cosθ = 4cosθ/cosθ (divide both sides by cosθ)

sinθ/cosθ = 4 (cancel cosθ)

tanθ=4 (sin/cos is equal to tan)

θ=arctan(4)(transposing tan will give you arctan)

θ=75.96 (calculation will give you this)