| Exam Board | Edexcel |
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| Module | F3 (Further Pure Mathematics 3) |
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| Year | 2018 |
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| Session | June |
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| Topic | Reciprocal Trig & Identities |
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3. Given that
$$y = \arctan \left( \frac { \sin x } { \cos x - 1 } \right) \quad x \neq 2 n \pi , \quad n \in \mathbb { Z }$$
Show that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = k$$
where \(k\) is a constant to be found.
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