| Exam Board | SPS |
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| Module | SPS SM Pure (SPS SM Pure) |
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| Year | 2023 |
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| Session | February |
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| Topic | Small angle approximation |
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3.
a) Show that when \(x\) is small, \(2 \cos x - 3 \sin x\) can be written as \(a + b x + c x ^ { 2 }\), where \(a , b\) and \(c\) are integers to be found.
b) Hence find a small positive value of \(x\) that is an approximate solution to \(2 \cos x - 3 \sin x = 7 x\)