Solve for . Which set lists all the…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Solve sin⁡2θ+cos⁡θ=0\sin 2\theta+\cos \theta=0 for 0∘≤θ<360∘0^{\circ}\le \theta<360^{\circ}. Which set lists all the solutions? (a) 90∘, 150∘, 270∘, 330∘90^{\circ},\,150^{\circ},\,270^{\circ},\,330^{\circ} (b) 90∘, 210∘, 270∘, 330∘90^{\circ},\,210^{\circ},\,270^{\circ},\,330^{\circ} (c) 0∘, 90∘, 180∘, 270∘0^{\circ},\,90^{\circ},\,180^{\circ},\,270^{\circ} (d) 45∘, 135∘, 225∘, 315∘45^{\circ},\,135^{\circ},\,225^{\circ},\,315^{\circ}

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