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Trigonometry in General Triangles

Deriving and applying the formula for the area of a triangle. Applying the laws of sines and cosines to solve problems involving right triangles and non-right triangles.

Mapped to CCSS Section# HSG.SRT.D.9, HSG.SRT.D.10, HSG.SRT.D.11

Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. Prove the Laws of Sines and Cosines and use them to solve problems. Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).