A triangle $ABC$ is such that $AC=\sqrt{2}$, $BC=4$ and angle $ACB=\frac{1}{4}\pi +\theta $. Given that $\theta $ is sufficiently small for ${{\theta }^{3}}$ and higher powers of $\theta $ to be neglected, show that
$AB\approx \sqrt{10}\left[ 1+a\theta +b{{\theta }^{2}} \right]$,
where $a$ and $b$ are real constants.[5]

A triangle $ABC$ is such that $AC=\sqrt{2}$, $BC=4$ and angle $ACB=\frac{1}{4}\pi +\theta $. Given that $\theta $ is sufficiently small for ${{\theta }^{3}}$ and higher powers of $\theta $ to be neglected, show that

$AB\approx \sqrt{10}\left[ 1+a\theta +b{{\theta }^{2}} \right]$,

Maclaurin Series and Power Series - General

Maclaurin Series and Power Series

H2 Math

International Baccalaureate Higher Level Mathematics

2021 DHS P1 Q2

2021 DHS P1 Q2

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