# Graphing Trigonometric Functions

We have been using the coordinate plane to plot angles, their terminal sides and the unit circle. There is another way to use the coordinate plane to represent trigonometric functions - using the set of points (x, sin(x)) where x is in radians.
Below, plot the points of the form (x, sin(x)) for the x values listed below. x= 0, π/3, π/4, π/6, π/2, 3π/4, π, 5π/4, 7π/6, 3π/2, 5π/3, 7π/4, 11π/3, 2π To do that - in the box in the top left type the value of x and the value of sin(x) as a point like (0, 0) using the provided keyboard.

What do you notice about the domain of this function?

What do you notice about the range of this function?

Is this function one to one?

Select all that apply
• A
• B
• C
Now enter the function y = sin(x). What do you notice?

## Spend some time changing the value of theta and seeing what happens to the graph. What do you think would happen if you could keep increasing theta?

How often will the sine graph have repeat y values?

Select all that apply
• A
• B
• C
• D
Do the same for y = cos(x). Compare this graph to the graph of sin(x).

How often will the cosine graph have repeat y values?

Select all that apply
• A
• B
• C
• D