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Determine all values of in that satisfy
MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem Determine all values of θ \theta θ in 0 ∘ ≤ θ ≤ 360 ∘ 0^{\circ} \le \theta \le 360^{\circ} 0 ∘ ≤ θ ≤ 36 0 ∘ that satisfy cos 2 θ = − 1 2 \cos 2\theta = -\dfrac{1}{2} cos 2 θ = − 2 1 . Which option lists all such values?
(a) 60 ∘ , 120 ∘ 60^{\circ},\;120^{\circ} 6 0 ∘ , 12 0 ∘
(b) 30 ∘ , 150 ∘ , 210 ∘ , 330 ∘ 30^{\circ},\;150^{\circ},\;210^{\circ},\;330^{\circ} 3 0 ∘ , 15 0 ∘ , 21 0 ∘ , 33 0 ∘
(c) 60 ∘ , 120 ∘ , 240 ∘ , 300 ∘ 60^{\circ},\;120^{\circ},\;240^{\circ},\;300^{\circ} 6 0 ∘ , 12 0 ∘ , 24 0 ∘ , 30 0 ∘
(d) 120 ∘ , 240 ∘ 120^{\circ},\;240^{\circ} 12 0 ∘ , 24 0 ∘
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