SOHCAHTOA Calculator
Find a missing side or angle of a right triangle using SOH-CAH-TOA ratios.
Inputs
Acute angle (0° to 90° exclusive).
Result
5.773503
Ratio used
opp = adj × tan(30°) = 10 × 0.57735
Step by step
Identify the ratio
= opp = adj × tan(30°) = 10 × 0.57735
Result
= opposite = 5.77350269
How it works
SOHCAHTOA is a mnemonic for the three primary trig ratios in a right triangle: Sin = Opposite/Hypotenuse, Cos = Adjacent/Hypotenuse, Tan = Opposite/Adjacent. Given any angle and one side, you can find any other side; given two sides, you can find the angle.
Formula
SOH-CAH-TOA
sin θ = O/H, cos θ = A/H, tan θ = O/A
- O
- Opposite side
- A
- Adjacent side
- H
- Hypotenuse
- θ
- Acute angle
Frequently Asked Questions
What does SOHCAHTOA stand for?
SOH = Sine is Opposite over Hypotenuse, CAH = Cosine is Adjacent over Hypotenuse, TOA = Tangent is Opposite over Adjacent.
Can I use SOHCAHTOA for non-right triangles?
No — these ratios apply only to right triangles. For oblique triangles use the Law of Sines or Law of Cosines.