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:

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