| Exam Board | Edexcel |
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| Module | C34 (Core Mathematics 3 & 4) |
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| Year | 2014 |
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| Session | June |
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| Topic | Product & Quotient Rules |
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3. Given that
$$y = \frac { \cos 2 \theta } { 1 + \sin 2 \theta } , \quad - \frac { \pi } { 4 } < \theta < \frac { 3 \pi } { 4 }$$
show that
$$\frac { \mathrm { d } y } { \mathrm {~d} \theta } = \frac { a } { 1 + \sin 2 \theta } , \quad - \frac { \pi } { 4 } < \theta < \frac { 3 \pi } { 4 }$$
where \(a\) is a constant to be determined.