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Geometry. 8.6 Law of Sines and Law of Cosines. Trig learned so far this chapter only applied to right triangles. (30-60-90, SOH-CAH-TOA, ect .) Trig in this section can be used to find missing measures in ANY triangle. Intro. sin A sin B sin C a b c
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Geometry 8.6 Law of Sines and Law of Cosines
Trig learned so far this chapter only applied to right triangles. (30-60-90, SOH-CAH-TOA, ect.) • Trig in this section can be used to find missing measures in ANY triangle. Intro
sin Asin Bsin C a b c -The law of sines is used when you know two angles and one side (AAS or ASA). Law of Sines
Find x. Round to the nearest tenth. Example 1
Find x, round to the nearest degree. Example 2
a2 = b2 + c2 – 2bc cos A • b2= a2+ c2 – 2bc cosB • c2= a2+ b2– 2bc cosC • The Law of Cosines is used when you know two sides and their included angle (SAS) or three sides (SSS). Law of Cosines
Find x. Round to the nearest tenth. Example 3
Find x, round to the nearest degree. Example 4
Solve triangle ABC. (Find all missing sides and angles.) Example 5