page+12


 * **Aim: How do we graph basic sin and cos curves?** (y=sinx and y=cosx)


 * Before we start with the video, copy these questions into your notebooks. You will need these notes to help you graph any trig function.


 * 1) What are the important points of the unit circle to use?
 * 2) Where, in radians, are the points located?
 * 3) What is a period?
 * 4) What is an amplitude?
 * 5) How do you figure out an amplitude by looking at a graph?
 * 6) How do you figure out an amplitude from looking at an equation?

[|Video]


 * Now, it is your turn to graph y=sinx in your notebook. Be sure to write the angles you need for the period and write down what the amplitude.

a. In the interval 0__<__x<4pi, for what values of x is the graph y=sinx increasing? b. In the interval 0__<__x<4pi, for what values of x is the graph y=sinx decreasing? c. How many cycles (periods) of the graph y=cosx are in the interval 0__<__x<4pi?
 * Try these problems...
 * 1) Sketch the graph of y=sinx in the interval 0__<__x<4pi

2. Is the basic sin function one-to-one? Justify your answer

3. Is the basic cosine function one-to-one? Justify your answer?


 * **Journal entry:** Explain the statement: "The sunrise at a particular location for a full year can be represented by a sine curve."

.