| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2019 |
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| Session | November |
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| Topic | Trig Equations |
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6
- Given that \(x > 0\), find the two smallest values of \(x\), in radians, for which \(3 \tan ( 2 x + 1 ) = 1\). Show all necessary working.
- The function f : \(x \mapsto 3 \cos ^ { 2 } x - 2 \sin ^ { 2 } x\) is defined for \(0 \leqslant x \leqslant \pi\).
- Express \(\mathrm { f } ( x )\) in the form \(a \cos ^ { 2 } x + b\), where \(a\) and \(b\) are constants.
- Find the range of \(f\).