BC ANALYSIS: Worksheet A: graphing sine and cosine



BC ANALYSIS: Worksheet A: graphing sine and cosine

Use the graphing calculator and your unit circle (if you have to). Make sure calculator is in radian mode.

1. Go to STAT, Edit. This will bring you to a set of tables. In table L1, type in radian values from -2pi to 2pi. (MAKE SURE YOU ARE IN THE CORRECT MODE)

Example: Type [pic], hit enter.

Type [pic], hit enter.

Do this all the way around the circle, until you get to 2 pi. You should have 33 values.

2. Go back to STAT, Edit. Move to L2. Move your cursor all the way up until it is on the name of the list (L2). Then type in sin (L1), sin (SECOND 1).

3. Now go to STAT PLOT (SECOND Y=). Press Enter, put cursor on ON and press enter. Arrow down to TYPE, highlight first type (scatter plot) and press ENTER. Arrow down to Xlist. It should already say L1, but if it doesn't, type SECOND 1, ENTER. For Y list, type SECOND 2, ENTER.

4. Now go to ZOOM 9 and press ENTER. You should see your 33 values as points on the X/Y plane. You have unwrapped the sine values around the unit circle and created a function: Y = sin(x)!

5. Now go to Y=, itself and under Y1, type in sin (x). Then hit graph and the sine graph should connect your 33 values.

6. Transfer this graph onto graph paper. Use the TRACE button to identify x and y values.

7. Go back to STAT, Edit. Move the cursor to L2 and hit CLEAR then ENTER. Move the cursor back up to L2 and type cos (L1), ENTER.

8. Zoom 9 again to see the graph of your cosine values against L1.

9. Now go to Y= and type cos (x), then hit GRAPH. This is the unwrapped version of the cosine values from -2pi to 2pi. You have created the function Y=cos (x)!

10. Transfer this graph onto graph paper. Use the TRACE button to identify x and y values.

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