Unformatted text preview: θ = 1 2 is θ = π 3 . Since the graph of cos θ is periodic and completes a full cycle on [0 , 2 π ] and is symmetric about the line θ = π on [0 , 2 π ], we know there must be another value of θ at which cos θ = 1 2 . 0 π/3 π/2 π 3π/2 5π/2 2π In fact, this value of θ would be the same distance from 2 π as π 3 is from 0 (by the symmetry of the graph) . Since π 3 is π 3 units to the right of 0, our second point would be π 3 units to the left of 2 π . 2 ππ 3 = 6 π 3π 3 = 5 π 3 . So our second point at which cos θ = 1 2 is 5 π 3 . 1...
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 Spring '11
 Augustarainsford
 Calculus, Trigonometry, Law Of Cosines, Cos, Leftwing politics, Political spectrum, Euler's formula

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