Multiple choice

A series expansion for the function sin$\theta$ is

  1. 1 - $\frac{\theta^2}{2!} + \frac{\theta^4}{4!}$
  2. $\frac{\theta^3}{3!} + \frac{\theta^5}{5!}$
  3. 1 + $\theta$+ $\frac{\theta^2}{2!} + \frac{\theta^3}{3!}$
  4. $\theta$ + $\frac{\theta^3}{3!} + \frac{\theta^5}{5!}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\text{We know the series expansion of} \\ sin \theta = \theta - \frac{\theta^3}{\lfloor{3}} + \frac{\theta^3}{\lfloor{5}} - \frac{\theta^7}{\lfloor{7}}+ ......$

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