# How to Graph the Sine Function?

The sine of an angle is a trigonometric function denoted by \(sin x\) where \(x\) is the desired angle. In this guide, you will learn more about the graph of the sine function.

**A step-by-step guide to graphing the sine function**

The sine function is one of the three main functions in trigonometry. The sine \(x\) or sine theta can be defined as the ratio of the opposite side of a right triangle to its hypotenuse.

\(\color{blue}{sin\:x\:=\frac{Opposite\:Side}{Hypotenuse\:}=\frac{Perpendicular}{Hypotenuse}}\)

The sine graph is like the picture below. A sine graph or sinusoidal graph is an up-down graph and repeats every \(360\) degree, i.e. in \(2π\). In the graph below, it can be seen that from \(0\), the sine graph increases to \(+1\) and then decreases to \(-1\) from where it increases again.

The function \(y = sin x\) is an odd function, because; \(sin (-x) = -sin x\).

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