IM3.6.5 Tangent 3
Task 3: The tangent function
Our goal here is to learn about how the tangent function looks on the coordinate plane, as it's very different from sine and cosine.
1. In column A of your spreadsheet, we're going to enter some angle values in radians. In cell A2, enter "-2π" (remember, to type π press option+p).
2. In cell A3, enter "=A2+π/12" and hit enter. This should calculate the next angle in our list. Drag this formula all the way down to row 50 (your last value in cell A50 should be 6.28).
3. Now, we'll let the spreadsheet calculate the tangents of these angles. In cell B2, type "=tan(A2)" and hit enter. Drag this formula down to row 50 to calculate the tangents of all of these angles (cell B50 should read 0).
4. Now to let GeoGebra graph this function for us, select columns A and B, and create a list of points 
. Click on your coordinate plane to see the points graphed.
Challenge: In column C, use spreadsheet calculations on column 1 to list all of the angles in degrees for your reference.
. Click on your coordinate plane to see the points graphed.
Challenge: In column C, use spreadsheet calculations on column 1 to list all of the angles in degrees for your reference.Questions
1. What is the period of the tangent function? 2. In your list of tangent values (column B), you should have gotten a number of ?s. What's going on here? Can you explain using our unit circle representation of tangent? 3. What are the x-intercepts of the tangent function? 4. When is this function increasing? When is it decreasing?