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1
Law of Sine Chapter 8.2
2
Law of Sine too, but…… Law of Cosine
If the triangle is not a right triangle, we have 4 case scenarios to consider. Law of Sine too, but…… A S S S A A A S A Case 1: ASA or AAS Case 2: SSA Law of Cosine S S S A S S Case 3: SAS Case 4: SSS
3
sin α = sin β = sin γ a b c Law of Sine A S S S A A A S A
Case 1: ASA or AAS Case 2: SSA sin α = sin β = sin γ a b c
4
Solve the triangle. sin α = sin β = sin γ a b c Angle-Angle-Side A 60°
4 40° γ A b Angle-Angle-Side
5
γ = 95° , c = 5, β = 45° Solve the triangle. sin α = sin β = sin γ
a b c A 45° S a 5 95° α A b Angle-Angle-Side
6
Solve the triangle. sin α = sin β = sin γ a b c Angle-Side-Angle A 15°
35° γ A b Angle-Side-Angle
7
α = 40° , c = 2, β = 40° Solve the triangle. sin α = sin β = sin γ
a b c A 40° S 2 a 40° γ A b Angle-Side-Angle
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