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March 28, 2017

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Find all values of ¸ in [0°, 360°) that satisfy the equation.

2 sin 2θ - √(3) = 0

  • trig - ,

    2sin2θ = √3
    sin2θ = √3/2
    sin(x) is positive in QI,QII

    2θ = 60°,120°,...
    we need to go for two periods because we're dealing with 2θ. That gives us

    θ = 30°,60°,210°,240°

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