Graphs of Tangent and Cotangent Functions

Guidelines for sketching graphs of tangent and cotangent functions

Step 1: Find the period = ᴫ/B

Step 2: Find and graph the asymptotes.

Step 3: Divide the interval into four equal parts by means of the points.

Step 4: Evaluate the function for each of the three x-values resulting from step 3.

Step 5: Plot the points found in step 4, and join them with a smooth curve.

Step 6: Draw additional cycles of the graph, to the right and to the left, as needed.

Learn more about graphs of tangent and cotangent functions below.

Practice: Answer the following exercises about graphs of tangent and cotangent functions.