Chapter 12, Problem 1SGR

To determine

To find: The given statement is true or false. If false, make a true statement.

Answer to Problem 1SGR

The Law of Sines is used to solve the triangle when two angles and any sides are known.

Explanation of Solution

Given information: The Law of Cosines is used to solve the triangle when two angles and any sides are known.

The Law of Cosine is $c^2=a^2+b^2-2ab\cos (C)$ .

  

We can see the Law of Cosine is applicable when we have given two sides and the angle between them.

So, the given statement is false.

Now, The Law of Sine is $\frac{a}{\sin (A)}=\frac{b}{\sin (B)}=\frac{c}{\sin (C)}$

  

The Law of Sine is used when two angles and any side are known.

So, the correct statement would be- The Law of Sines is used to solve the triangle when two angles and any sides are known.