Given that $ heta $ is a sufficiently small angle measured in radians, show that $\frac{\sin \left(

Question

Given that $	heta $ is a sufficiently small angle measured in radians, show that $\frac{\sin \left( 	heta +\frac{\pi }{3} ight)}{\cos \left( 2	heta ight)}\approx a+b	heta +c{{	heta }^{2}}$, 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

Video Solution:

Solution:

Handwritten & Typed Solutions