How do we create the graph of the tangent function

The video tutorial covers the unit circle and the tangent function, explaining how to evaluate tangent at various angles. It demonstrates graphing the tangent function, highlighting the role of asymptotes and the graph's characteristics. The tutorial emphasizes understanding the tangent's behavior across different quadrants and its periodic nature.

What is the coordinate of the point on the unit circle corresponding to an angle of π/4?

• (1, 0)

• (0, 1)

• (sqrt(2)/2, sqrt(2)/2)

• (1/2, sqrt(3)/2)

How is the tangent of an angle defined in terms of the unit circle?

• X-coordinate over Y-coordinate

• Difference of coordinates

• Y-coordinate over X-coordinate

• Sum of coordinates

What is the tangent of π/2?

• -1

• Undefined

• 1

• 0

What is the significance of an asymptote in the graph of a tangent function?

• It is where the graph starts

• It is where the graph ends

• It is a line the graph approaches but never touches

• It is the highest point of the graph

At which angle does the tangent graph have an asymptote?

• π/4

• π/2

• 2π

• π

What is the range of the tangent function?

• 0 to infinity

• All real numbers

• -1 to 1

• 0 to 1

How many periods of the tangent function are typically shown in a graph?

• Two

• One

• Three

• Four