Deriving Maclaurin series

<ol class="abc-list"><li><div class="list-item-paragraph">If $\theta $ is small such that ${{\theta }^{3}}$ and higher powers of $\theta $ may be neglected, express $\frac{\cos \theta }{1+\sin 2\theta +\cos 2\theta }$ in the form $\frac{1}{2}+a\theta +b{{\theta }^{2}}$ where $a$ and $b$ are constants to be found.</div><p style="text-align: right;">[4]</p></li></ol>

If $\theta $ is small such that ${{\theta }^{3}}$ and higher powers of $\theta $ may be neglected, express $\frac{\cos \theta }{1+\sin 2\theta +\cos 2\theta }$ in the form $\frac{1}{2}+a\theta +b{{\theta }^{2}}$ where $a$ and $b$ are constants to be found.

Small Angle Approximations

Maclaurin Series and Power Series

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

2022 ASRJC J2 MYCT Q7

2022 ASRJC J2 MYCT Q7

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