H2 Math Question Bank Access Maclaurin Series & Power Series

2021 MI P2 Q1

Given that $\theta $ is a sufficiently small angle, show that

$\frac{1}{\sin 2\theta +\cos \theta }\approx 1+a\theta +b{{\theta }^{2}}$,

where $a$ and $b$ are constants to be determined.

[4]

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