Law of Sines Calculator

Law of Sines Formula

The law of sines formula is:

^a⁄_sinX=^b⁄_sinY=^c⁄_sinZ

(The angle X is the opposite angle of the side a, angle Y is the opposite angle of side b, and angle Z is the opposite angle of side c)

To calculate a side of a triangle, for example, calculating side a, we need to know angle X, side b, and angle Y (OR side c and angle Z).
The formula is: (angles measured in degree)

a=^bsinX⁄_sinY
a=^csinX⁄_sinZ

To calculate an angle of a triangle, for example, calculating angle X, we need to know side a, side b, and angle Y (OR side c and angle Z).

X= sin^-1(^asinY⁄_b)
X= sin^-1(^asinZ⁄_c)