MAC1114 Chapter Notes - Chapter 8: Polar Coordinate System, Logarithmic Spiral, Pythagorean Theorem

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8. 1 the law of sines notes: sterling. Opposite sides : a, b, c sin a a sin b b sin c c. Second part of theorem sin a a sin a a sin b b sin b b sin c c sin c c. F ormula : sin a = h b. If : a < h = b sin a. T hen : side a not suf f iciently long f or triangle f orming. If : a = h = b sin a. T hen : side a long enough f or right triangle f orming. T hen : only one triangle f orming. If : h = b sin a < a and a < b. 8. 2 the law of cosines notes: sterling. Opposite angles : a, b, c c2 = a2 + b2. 2ab cos c b2 = a2 + c2. 2ac cos b a2 = b2 + c2.

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