Mathematics

Mathematics

Problem

Determine all values of θ\theta in 0∘≤θ≤360∘0^{\circ} \le \theta \le 360^{\circ} that satisfy cos⁡2θ=−12\cos 2\theta = -\dfrac{1}{2}. Which option lists all such values? a) 60∘,  120∘60^{\circ},\;120^{\circ} b) 30∘,  150∘,  210∘,  330∘30^{\circ},\;150^{\circ},\;210^{\circ},\;330^{\circ} c) 60∘,  120∘,  240∘,  300∘60^{\circ},\;120^{\circ},\;240^{\circ},\;300^{\circ} d) 120∘,  240∘120^{\circ},\;240^{\circ}

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