| Exam Board | AQA |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2006 |
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| Session | January |
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| Topic | Trig Equations |
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6
- Describe the geometrical transformation that maps the curve with equation \(y = \sin x\) onto the curve with equation:
- \(y = 2 \sin x\);
- \(y = - \sin x\);
- \(y = \sin \left( x - 30 ^ { \circ } \right)\).
- Solve the equation \(\sin \left( \theta - 30 ^ { \circ } \right) = 0.7\), giving your answers to the nearest \(0.1 ^ { \circ }\) in the interval \(0 ^ { \circ } \leqslant \theta \leqslant 360 ^ { \circ }\).
- Prove that \(( \cos x + \sin x ) ^ { 2 } + ( \cos x - \sin x ) ^ { 2 } = 2\).