| Exam Board | AQA |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2011 |
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| Session | June |
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| Topic | Reciprocal Trig & Identities |
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8 Prove that, for all values of \(x\), the value of the expression
$$( 3 \sin x + \cos x ) ^ { 2 } + ( \sin x - 3 \cos x ) ^ { 2 }$$
is an integer and state its value.