Sine rule formula

The Sine Rule relates the lengths of the sides of a triangle to the sines of its opposite angles.

For a triangle with sides $a, b, c$ and angles $A, B, C$ opposite to those sides respectively:

To find a side:

$$\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}$$

To find an angle:

$$\frac{\sin(A)}{a} = \frac{\sin(B)}{b} = \frac{\sin(C)}{c}$$