# 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; \(sin (-x) = -sin x\).

## Related to This Article

### More math articles

- The Ultimate KAP Algebra 1 Course (+FREE Worksheets)
- Ratio, Proportion and Percentages Puzzle – Challenge 30
- How to Graph Transformation on the Coordinate Plane: Rotation?
- The Ultimate 6th Grade K-PREP Math Course (+FREE Worksheets)
- 8th Grade NYSE Math FREE Sample Practice Questions
- Converting Numbers Between Standard and Expanded Forms Up to a Billion
- Effective Strategies for Learning and Memorizing Math Formulas
- Sandy Savings: A Guide to How to Calculate Sales Tax on Your Beach Vacation
- How to Solve Word Problems of Volume of Cubes and Rectangular Prisms
- 6th Grade Georgia Milestones Assessment System Math FREE Sample Practice Questions

## What people say about "How to Graph the Sine Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.