ma7ribreetycas7 ma7ribreetycas7

19-11-2016
Mathematics

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Find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation sin 2θ = sin θ.

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nobillionaireNobley nobillionaireNobley

21-11-2016

sin 2θ = sin θ
2sin θ cos θ = sin θ
2cos θ = 1
cos θ = 1/2
θ = arccos(1/2) = 60° and 300°
θ = 60° and 300°

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