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Download Law of Cosines (8.3 / 4e (10.3 / 3e))
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Algebra &Trigonometry Sullivan & Sullivan, Fourth Edition § 8.3 Page 1 / 3 Area of a Triangle Law Of Cosines : Case 3 (Two Sides, One Angle) : SSA 1) Given the following triangle, where a = 2, b = 3, γ = 60°, solve the triangle (find all the remaining angles & sides) (This picture is not specific to this problem – γ isn't actually drawn to represent 60°, etc) Page 1 / 3 Algebra &Trigonometry Sullivan & Sullivan, Fourth Edition § 8.3 Page 2 / 3 2) Given the following triangle, where a = 4, b = 3, γ = 30°, solve the triangle (This picture is not specific to this problem) Law Of Cosines : Case 4 (Three Sides, No Angles) : SSS 3) Given the following triangle, where a = 2, b = 3, c = 4, solve the triangle (find all the remaining angles & sides) (This picture is not specific to this problem) Page 2 / 3 § 8.3 Algebra &Trigonometry Sullivan & Sullivan, Fourth Edition Page 3 / 3 4) Given the following triangle, where a = 5, b = 6, c = 8, solve the triangle (find all the remaining angles & sides) (This picture is not specific to this problem) What kind of triangle? What do you know? What do you want to know? Use Any AAS SIDE Law of Sines Any SSA ANGLE Law of Sines Any Any SAS SSS One angle One side Two sides SIDE ANGLE Law of Cosines Law of Cosines SIDE sin, cos, and tan ANGLE sin-1, cos-1, and tan-1 Right Right Page 3 / 3
