Math basics › Trigonometry

Laws of sines and cosines

Law of sines

a/sin A = b/sin B = c/sin C. Use when you have an angle paired with its opposite side.

Law of cosines

c² = a² + b² − 2ab cos C. Use for three sides, or two sides and the angle between them. Pythagoras is this with C = 90°.

The ambiguous case

Two sides and a non-included angle can describe two different triangles. Check whether the second one is possible.