How to graph the tangent function

The video tutorial explains how to graph the tangent function using the unit circle. It begins with an introduction to the tangent graph and the unit circle, highlighting important angles. The instructor then demonstrates how to plot the tangent graph by using points from the unit circle, identifying x-intercepts and asymptotes. The behavior and patterns of the tangent graph are analyzed, showing how it repeats infinitely. The tutorial concludes with a discussion on the characteristics of the tangent graph, emphasizing the critical points and differences from sine and cosine graphs.

What is the radius of the unit circle used to understand the tangent function?

• 0.5

• 1

• 3

• 2

Which angle corresponds to the point (0, 1) on the unit circle?

• pi/2

• 0

• pi

• 3pi/2

What is the value of the tangent function at x = 0?

• 1

• Undefined

• 0

• -1

At which angle does the tangent function have an asymptote?

• 0

• pi/4

• pi

• pi/2

What is the tangent value at the angle pi/4?

• Undefined

• 0

• -1

• 1

How does the tangent graph behave as it approaches its asymptotes?

• It approaches infinity

• It remains constant

• It oscillates

• It flattens out

What is the period of the tangent function?

• 3pi/2

• pi/2

• 2pi

• pi