0606 P12 - Jun 2025 - Q4 - 5 marks
7118
(a) Find \(\int_0^\pi \sin\theta\,\mathrm{d}\theta\).
(b) Given that \(0\lt \alpha\lt \frac{\pi}{2}\), show that \(\frac{\sec\alpha}{\cot\alpha+\tan\alpha}\) can be written as \(\sin\alpha\).
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