# Taylor Series of Sine

This figure plots the taylor series approximations of the sine function on the domain . The figure plots approximations with an increasing number of terms. The first four approximations of the function are shown below.

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A taylor series is a tool in mathematics to define a function in terms of an infinite power series.

The sine function returns the sine of a number provided in radians. In geometric terms, the function returns the vertical component of the point formed by the angle on the unit circle.