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Trigonometry Solving a Right Triangle

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Solving a Triangle.. …means to determine all the lengths and angles based on a few known values

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Recap- Solving a triangle If we know sides In this case, we know Sin C = opp = 8 Ahyp 10 = 0.8 8 10 B6 C If we know angles and sides In this case we know Sin 53° = opp = AB A hyp 10 10 Sin 53°= AB 10 (0.7986…)= AB 10 8=AB B 53° C

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But… In this case, Sin C = opp = 8 Ahyp 10 = 0.8 8 10But then all we know is that Sin C= 0.8… B6 C That didn’t give us our angle…

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So! New calculator trick In this case, Sin C = opp = 8 Ahyp 10 = 0.8 8 10 Sin C= 0.8 (Sin -1 ) Sin C= (Sin -1 ) 0.8 C= (Sin -1 ) 0.8 B6 C C= 53.13°

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Try some more! A D G 3 4 2 4 5.7 4.5 E 5 F B 3.46 C H 3.5 I Sin A= Cos D= Tan G=

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Practice time! P.183 #2,3 Homework: Workbook p.226-p.231, #1,2,3,6,8

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We are now going to extend trigonometry beyond right angled triangles and use it to solve problems involving any triangle. 1.Sine Rule 2.Cosine Rule 3.Area.

We are now going to extend trigonometry beyond right angled triangles and use it to solve problems involving any triangle. 1.Sine Rule 2.Cosine Rule 3.Area.

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