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.
![How to Graph the Sine Function?](https://www.effortlessmath.com/wp-content/uploads/2023/01/Graphing-the-Sine-Function-512x240.jpg)
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.
![](https://www.effortlessmath.com/wp-content/uploads/2023/02/Untitled.png88.png)
The function \(y = sin x\) is an odd function, because; \(sin (-x) = -sin x\).
Related to This Article
More math articles
- Dollars and Sense: How to Tackle Money Word Problems with Confidence
- How to Prepare for the PSAT 8/9 Math Test?
- 5 Best Reliable Calculators for School, Home, and Work
- How to Unraveling the Transitive Property: A Key to Understanding Mathematical Relationships
- Estimating Sums
- How do Find Amplitude, Period, and Phase Shift?
- Students Effective Use of Math Skills in Other Academic Disciplines
- The Ultimate 6th Grade M-STEP Math Course (+FREE Worksheets)
- Decoding the Dynamics: How to Understanding Input/Output Tables
- The Ultimate 6th Grade RISE Math Course (+FREE Worksheets)
What people say about "How to Graph the Sine Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.