<ol class="abc-list"><li><div class="list-item-paragraph">Using standard series from the List of Formulae (MF26), find the Maclaurin expansion of $\frac{1}{{{\left( 1+\cos x \right)}^{2}}}$ in ascending powers of $x$ up to and including the term in ${{x}^{4}}$.</div><p style="text-align: right;">[4]</p></li><li><div class="list-item-paragraph">Find the set of values of $x$ for which $\frac{1}{{{\left( 1+\cos x \right)}^{2}}}$ is within $\pm \,0.5$ of the polynomial found in part <strong>(a)</strong>, where $0\le x < \pi $.</div><p style="text-align: right;">[3]</p></li></ol>

Using standard series from the List of Formulae (MF26), find the Maclaurin expansion of $\frac{1}{{{\left( 1+\cos x \right)}^{2}}}$ in ascending powers of $x$ up to and including the term in ${{x}^{4}}$.

Find the set of values of $x$ for which $\frac{1}{{{\left( 1+\cos x \right)}^{2}}}$ is within $\pm \,0.5$ of the polynomial found in part **(a)**, where $0\le x < \pi $.

2024 HCI P2 Q5

2024 HCI P2 Q5

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