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
- Evaluating Variables and Expressions
- Full-Length PSAT 10 Math Practice Test-Answers and Explanations
- How to Decipher Limits and Function Values
- What is a Perfect SAT Score?
- Finding the Area Between Two Triangles
- What Kind of Math is Used in Computer Programming?
- 7th Grade ACT Aspire Math Practice Test Questions
- How to Solve Piecewise Functions?
- Best Graphing Calculators for High School Students
- Zero Mastery: How to Tackle Word Problems with Numbers Ending in Zero
What people say about "How to Graph the Sine Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.