# Graphs of Trigonometric Functions

## Writing Sinusoidal Equations from Graphs

The final section of this chapter involves making an equation from a waveform. In other words, you’ll be shown a wave, and you’ll be expected to identify its amplitude, period, and phase-shift, then use this information to generate an equation using one of the templates shown below. Since a sine…

## Writing Sinusoidal Equations without a Graph

Oftentimes you’ll be presented with the properties of the wave and will be expected to create an equation from them. For example, you may be given the amplitude, period, phase-shift or told that it reflects about the x axis or has a height of n. Whatever the case is, you…

## Graphing the Sine Function

Now that you know how to identify the amplitude, phase shift, and cycle when given a periodic sinusoidal function, it’s time you learn how they’re graphed via the steps outlined underneath. Be mindful that these steps are identical for sinusoidal functions containing cosine, with one exception in Step D â€“ the…

## Graphing the Cosine Function

All cosine functions start off looking like this without applying any transformation: The steps to graphing cosine waves is identical to graphing sine waves. A summary of steps as explained in the previous video are written below: (a) Draw two horizontal lines, each at a distance equal to the amplitude…

## Introduction to Periodic Functions

In Part 1 of this course (Math 1131), you were newly introduced to the trigonometric functions: sine, cosine, and tangent. You learned how you can use these functions to solve triangles by setting up ratios, but you never learned what they looked like graphed. It turns out that if you…