SOHCAHTOA Calculator
Solve a right triangle with sine, cosine and tangent (SOH CAH TOA) from any two of its legs, hypotenuse and acute angles.
Change the values and press Calculate to work out your own figures.
Enter any two values, including at least one side.
Show the working
- From the leg a and leg b
- c² = a² + b²; sin α = a ÷ c, cos α = b ÷ c, tan α = a ÷ b (SOH CAH TOA)
How to use it
Enter any two values, including at least one side.
Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.
Key facts
SOH: sin = opposite ÷ hypotenuse; CAH: cos = adjacent ÷ hypotenuse; TOA: tan = opposite ÷ adjacent
The mnemonic
SOH CAH TOA names the three ratios of a right triangle's sides for an acute angle.
Questions
What is the hypotenuse with legs 5 and 12?
13.
Which angle is α?
The angle opposite leg a.
Formulas
SOH: sin = opposite ÷ hypotenuse; CAH: cos = adjacent ÷ hypotenuse; TOA: tan = opposite ÷ adjacent
Sources
Limitations
- Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).