# 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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