Spherical Law of Sines
Spherical Law of Sines
Draw a spherical triangle on the surface of the unit sphere with center at the origin . Let the sides (arcs) opposite the vertices have lengths , and , and let , and be the angles at the vertices , and . The spherical law of sines states that .
ABC
O
a
b
c
A
B
C
A
B
C
sina/sinA=sinb/sinB=sinc/sinC