Solve equation using double angle identity

A question is this type if and only if it requires applying a double angle identity (e.g. cos 2θ = 1 − 2sin²θ or sin 2θ = 2 sin θ cos θ) to rewrite the equation before solving.

1 questions · Moderate -0.3

1.05l Double angle formulae: and compound angle formulae1.05o Trigonometric equations: solve in given intervals
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OCR MEI C4 Q1
7 marks Moderate -0.3
1 Express \(6 \cos 2 \theta + \sin \theta\) in terms of \(\sin \theta\).
Hence solve the equation \(6 \cos 2 \theta + \sin \theta = 0\), for \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).