Solve missing sides and angles with sin/cos/tan
Grades HSSOH
sin θ = opp/hyp
CAH
cos θ = adj/hyp
TOA
tan θ = opp/adj
sin(θ)
opp/hyp
0.5
cos(θ)
adj/hyp
0.866
tan(θ)
opp/adj
0.5774
Hypotenuse
10
Opposite
5
Adjacent
8.6603
Angle θ
30°
0.5236 rad
Other angle (90−θ)
60°
1.0472 rad
📋 Step-by-Step
📌 Given: θ = 30°, hypotenuse = 10
1. opposite = hyp × sin(θ) = 10 × sin(30°) = 10 × 0.5 = 5
2. adjacent = hyp × cos(θ) = 10 × cos(30°) = 10 × 0.866 = 8.6603