Apply trigonometry to general triangles
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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.
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).
Prove the Laws of Sines and Cosines and use them to solve problems.