Math calculators

Trigonometry and triangle solver

Sin, cos, tan and their inverses in degrees or radians, and a triangle solver for SSS, SAS, ASA, AAS and the ambiguous SSA case.

Inputs

Enter any three values, at least one of them a side; leave the rest empty. Angle A faces side a.

Side aSide bSide cAngle A°Angle B°Angle C°Angles

Results

Methodology

Conventions

Angle A is opposite side a, B opposite b and C opposite c. Give any three values including at least one side.
Two sides and an angle not between them (SSA) can have two, one or no triangles; every valid triangle is shown.
Functions that are undefined at an angle, such as tan 90°, are shown as undefined.

References

Any trigonometry text

Formulas

Law of sines: \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}
Law of cosines: c^2 = a^2 + b^2 - 2ab\cos C
Area: \tfrac12 ab \sin C