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Trigonometry

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 Trigonometric Equations: Solve the equation, 2sin�θ - sinθ = 0                           This is a Quadratic Equation as in 2x� - x = 0                                          By factorization, Sinθ(2sinθ - 1) = 0                                                 So, sinθ = 0 and 2sinθ - 1 = 0                                                  When sinθ = 0, angle θ = 0�, 180� and 360�                                                        Also, for 2sinθ - 1 = 0                                                              sinθ = 0.5. Angle θ = 30� and 150�               Answer: Solutions of θ are 0�, 30�, 150�, 180� and 360 Polar Equations: Find the Polar Equation of the Circle whose Cartesian Equation is x� + y� = 4x.              If x = rcosθ and y = rsinθ         then r�cos�θ + r�sin�θ = 4rcosθ                 r�(cos�θ + sin�θ) = 4rcosθ                       Therefore, r� = 4rcosθ                                        r = 4cosθ                   Polar Equation is r = 4cosθ for Math Practice,

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