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Problem Solve sin 2 θ + cos θ = 0 \sin 2\theta+\cos \theta=0 sin 2 θ + cos θ = 0 for 0 ∘ ≤ θ < 360 ∘ 0^{\circ}\le \theta<360^{\circ} 0 ∘ ≤ θ < 36 0 ∘ . Which set lists all the solutions?
a) 90 ∘ , 150 ∘ , 270 ∘ , 330 ∘ 90^{\circ},\,150^{\circ},\,270^{\circ},\,330^{\circ} 9 0 ∘ , 15 0 ∘ , 27 0 ∘ , 33 0 ∘
b) 90 ∘ , 210 ∘ , 270 ∘ , 330 ∘ 90^{\circ},\,210^{\circ},\,270^{\circ},\,330^{\circ} 9 0 ∘ , 21 0 ∘ , 27 0 ∘ , 33 0 ∘
c) 0 ∘ , 90 ∘ , 180 ∘ , 270 ∘ 0^{\circ},\,90^{\circ},\,180^{\circ},\,270^{\circ} 0 ∘ , 9 0 ∘ , 18 0 ∘ , 27 0 ∘
d) 45 ∘ , 135 ∘ , 225 ∘ , 315 ∘ 45^{\circ},\,135^{\circ},\,225^{\circ},\,315^{\circ} 4 5 ∘ , 13 5 ∘ , 22 5 ∘ , 31 5 ∘
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