| Exam Board | AQA |
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| Module | Paper 2 (Paper 2) |
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| Year | 2024 |
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| Session | June |
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| Topic | Trig Graphs & Exact Values |
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6 It is given that
$$( 2 \sin \theta + 3 \cos \theta ) ^ { 2 } + ( 6 \sin \theta - \cos \theta ) ^ { 2 } = 30$$
and that \(\theta\) is obtuse.
Find the exact value of \(\sin \theta\).
Fully justify your answer.