# Maclaurin Series of Sinx

In this tutorial we shall drive the series expansion of trigonometric function sine by using Maclaurin’s series expansion function.
Consider the function of the form

Put $x = 0$, the given equation function becomes

Now take derivatives of the given function and put $x = 0$, we have

Now using Maclaurin’s series expansion function, we have

Putting the values in above series, we have