Chapter+13+Notes

Chapter 13 will begin a two chapter study of periodic functions and trigonometry.

This first section looks at the requirements and attributes of periodic functions including cycle, period, amplitude, and frequency.

Now that we have a basic idea of periodic functions we will look at how to build and read basic angles on the coordinate axes, as well as a fairly detailed look at the Unit Circle, a circle with a radius of 1.

There are two different ways to measure angles. In sections 1 and 2 we were working in degrees. Here in section 3 we learn about the other type -- radians. We also learn ways to move back and forth between the two types as well as a formula that works with the radian type.

With the basic values and ideas of the trigonometric functions covered we are ready to move on to graphing them. Here we begin with graphing the sine function and the pieces associated with that.

Using the same principles as we used for graphing sine waves, we will now be graphing cosine waves. Also included with this lesson is how to use a graphing calculator to solve trig functions.

Our third trig relation is tangent. We can find our tangent values by dividing our sine values by the cosine of the same angle. In this lesson we find that relation and also learn to graph basic tangent functions.

Section 7 looks at how we can translate our basic sine and cosine waves to match information relating to actual events that we can see in the world around us. This lesson comes in two parts.

In this section we take a look at secant, cosecant and cotangent, the reciprocal functions of our basic sine, cosine, and tangent values. We also take a brief look at graphing these functions.