# Trigonometric Graphs

The graphs of sin, cos and tan are given below. You will notice that is given in radians. Recall that radians is an alternative to degrees when measuring angles. is equivalent to radians.

### The graph of

### The graph of

### The graph of

Imagine a particle traversing the unit circle in an anti-clockwise fashion where measures the anti-clockwise angle between the particle and the x-axis. cos can be thought of as the x coordinate of the particle and sin the y coordinate:

We can also perform transformations of the trigonometric graphs. See Examples.

## Example 1

Sketch the graph of .

This is a y-transformation – the y coordinates have been multiplied by 2. This stretches the graph by a factor of 2 in the y direction. See more on transformations.

## Example 2

Sketch the graph of .

This is an x-transformation – the x coordinates have been multiplied by 2. This stretches the graph by a factor of a half in the x direction. See more on transformations

## Solomon Trig Graph Questions

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