G.SRT.D.10: Prove the Laws of Sines and Cosines and use them to solve problems.

Prove the Laws of Sines and Cosines and use them to solve problems.

Example Problems

What are the angle measures in a triangle whose three sides each have a length of

1

unit? Explain.

a. For which acute angles

a

is

\sin a = \cos a

? Explain.

b. For which acute angles

a

is

\sin a = \cos 2a

? Explain.

What are the approximate angle measures of the three angles in a triangle whose side lengths are

2

,

3

, and

4

units respectively?

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