Answer to Question #151565 in Trigonometry for Cavajos Montenegro

Question

In solving triangles, when do you use Law of Sines? How about the Law of Cosines? Give at least 2 examples for each.

Answer 1

Use the Law of Sines if:

• You know two sides and an angle that is not the angle between the sides.
• You know two angles and one side.

Use the Law of Cosines if:

• You know three sides.
• You know two sides and an angle between them.

Examples:

Solving with the Law of Sines:

1)

• Triangle solved!

2)

• Triangle solved!

Solving with the Law of Cosines:

1)

• Triangle solved!

2)

• Triangle solved!