Lesson 2

Lesson 2 Summary

 

In this lesson you learned that the sine and cosine functions are considered periodic.

 

You learned the following:

• The maximum and minimum are the highest and lowest points on the graph of the function.
• The midline is halfway between the maximum and minimum.
• The amplitude is the distance from the midline to a maximum or a minimum.
• Finally, the period is the length of one cycle of the function.

 

Before any transformations take place, the characteristics of y = sin x and y = cos x can be summarized as follows:

 

	y = sin x	y = cos x
Amplitude	1	1
Period	360° or 2π	360° or 2π
y-intercept	(0, 0)	(0, 1)
Midline	y = 0	y = 0
Range	−1 ≤ y ≤ 1	−1 ≤ y ≤ 1
Domain	x ∈ R	x ∈ R

In Lesson 3 you will look at how making changes to the characteristics of a graph changes the sinusoidal function.