If (1−cosθ)/sinθ = 1/√3 and 0°

Question

If (1−cosθ)/sinθ = 1/√3 and 0°<θ<180°, find θ.

G1 Physics · Accepted Answer

Use (1−cosθ)/sinθ = tan(θ/2). Thus tan(θ/2)=1/√3. Since 0°<θ/2<90°, θ/2=30°, so θ=60°.