📐 SOH CAH TOA Explorer

Adjust the Angle (θ) and the Hypotenuse length. See exactly how the Opposite and Adjacent sides change to calculate Sine, Cosine, and Tangent!

Sine (θ)
0.50
Opposite ÷ Hypotenuse
Cosine (θ)
0.87
Adjacent ÷ Hypotenuse
Tangent (θ)
0.58
Opposite ÷ Adjacent
θ 10 5 8.66
Angle θ (degrees)
30°
Hypotenuse Length
10

📝 The Math Breakdown

  • SOH: Sine equals Opposite over Hypotenuse.
    sin(30°) = 5.00 ÷ 10 = 0.50
  • CAH: Cosine equals Adjacent over Hypotenuse.
    cos(30°) = 8.66 ÷ 10 = 0.87
  • TOA: Tangent equals Opposite over Adjacent.
    tan(30°) = 5.00 ÷ 8.66 = 0.58