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MioMath 2024 Paper 1 · Q5

Paper 1TrigonometrySequences & series

Given

11−sin⁡θ=5\frac{1}{1-\sin\theta}=5

find

∑r=1∞cos⁡r(θ+π2).\sum_{r=1}^{\infty}\cos^r\left(\theta+\frac{\pi}{2}\right).
A1
B−13-\dfrac{1}{3}
C3
D−49-\dfrac{4}{9}
E−23-\dfrac{2}{3}

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