Given that $\theta $ is a sufficiently small angle measured in radians, show that \(\fra

Question

Given that $\theta $ is a sufficiently small angle measured in radians, show that $\frac{\sin \left( \theta +\frac{\pi }{3} \right)}{\cos \left( 2\theta \right)}\approx a+b\theta +c{{\theta }^{2}}$, for exact constants $a$, $b$ and $c$ to be determined.[5]

Accepted Answer

$a=\frac{\sqrt{3}}{2}$, $b=\frac{1}{2}$ and $c=\frac{3}{4}\sqrt{3}$

2022 CJC J2 MYE P1 Q1

2022 CJC J2 MYE P1 Q1

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