Chapter 9 Trig Applications Fr. Chris Trig Applications Fr. Chris.

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Presentation transcript:

Chapter 9 Trig Applications Fr. Chris Trig Applications Fr. Chris

Right Triangles Proof:Also...

9.1(p. 633)

What about Triangles that AREN’T Right Triangles?

Law of Sines or for that matter... If you know two angles and a side

Proof

ASA Case (1 solution)

SAA/ASS Ambiguity See page 640 for details... Don’t Panic... it sorts itself out...

The Solution?

Could Both Beta’s Work?

Could neither work? But doesn’t sine stay between 1 and -1????? ERR:DOMAIN

WHAT ABOUT SAS & SSS? Law of Sines won’t work!

Law of Cosines

Proof

SAS page 651#9

SSS page 651#21