Trigonometry Calculator

Evaluate trig ratios and exact values, simplify with identities and solve trig equations over a given range, with steps. Try “solve 2sin(x) = 1 for 0 ≤ x ≤ 360°”.

Try an example:

What you can do with the Trigonometry Calculator

Ratios, identities, equations and exact values.

Enter your values or describe the problem in the calculator above. Review the result and the explanation before using it in homework, study or practical calculations.

Example input

e.g. solve 2sin(x) = 1 for 0 ≤ x ≤ 360 degrees

How the Trigonometry Calculator works

  1. Isolate the trig function (sin x = ½).
  2. Find the reference angle (30°) and use the quadrant rule (ASTC) for all solutions in range.
  3. List every solution in the requested interval (30° and 150°).

Frequently asked questions

What is SOH CAH TOA?

sin = opposite ÷ hypotenuse, cos = adjacent ÷ hypotenuse, tan = opposite ÷ adjacent.

What is the Pythagorean identity?

sin²θ + cos²θ = 1, true for every angle θ.

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Math Solver can make mistakes. Please double-check important steps and calculations.