Chapter 12.7, Problem 2OE

To determine

Using law of sines, to find an expression equivalent to the given one.

Answer to Problem 2OE

  $\begin{array}{l}\frac{a}{\sin A}=\frac{b}{\sin B}\\ \frac{a}{\sin A}=\frac{c}{\sin C}\end{array}$

Explanation of Solution

Given information :

  $\frac{a}{\sin A}$

According to law of sines,

In any triangle ABC,

  

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

Hence,

  $\begin{array}{l}\frac{a}{\sin A}=\frac{b}{\sin B}\\ \frac{a}{\sin A}=\frac{c}{\sin C}\end{array}$