Answer: [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex]
The sin(A) goes with 'a'
sin(B) goes with b
sin(C) goes with c
Each angle goes with the corresponding side to form the three fractions shown. You can break up that triple equation into smaller equations such as [tex]\frac{a}{\sin(A)} = \frac{b}{\sin(B)}[/tex] and [tex]\frac{b}{\sin(B)} = \frac{c}{\sin(C)}[/tex] and [tex]\frac{a}{\sin(A)} = \frac{c}{\sin(C)}[/tex]
Note: if you apply the reciprocal to all three sides, then you'll get an equivalent equation. I'm using the rule that A/B = C/D is the same as B/A = D/C.
