| Exam Board | Edexcel |
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| Module | AS Paper 1 (AS Paper 1) |
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| Year | 2024 |
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| Session | June |
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| Topic | Trig Equations |
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- In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
- Show that the equation
$$\sin \theta ( 7 \sin \theta - 4 \cos \theta ) = 4$$
can be written as
$$3 \tan ^ { 2 } \theta - 4 \tan \theta - 4 = 0$$ - Hence solve, for \(0 < x < 360 ^ { \circ }\)
$$\sin x ( 7 \sin x - 4 \cos x ) = 4$$
giving your answers to one decimal place.
- Hence find the smallest solution of the equation
$$\sin 4 \alpha ( 7 \sin 4 \alpha - 4 \cos 4 \alpha ) = 4$$
in the range \(720 ^ { \circ } < \alpha < 1080 ^ { \circ }\), giving your answer to one decimal place.