How do we create the graph of the cotangent function

The video tutorial explains the tangent and cotangent functions, focusing on their values and graphs. It starts with a review of tangent as y/x and introduces cotangent as its reciprocal, x/y. The instructor discusses how to find cotangent values on the unit circle, noting when they are undefined. The video then demonstrates graphing the cotangent function, highlighting key points like asymptotes and x-intercepts. The period of the cotangent graph is explained, emphasizing its repetition every π. The tutorial concludes with a focus on the important points for understanding the cotangent graph.

What is the relationship between tangent and cotangent functions on the unit circle?

• Tangent is x/y and cotangent is y/x.

• Tangent is y/x and cotangent is x/y.

• Tangent is equal to cotangent.

• Tangent is the reciprocal of cotangent.

What is the value of cotangent at π/4?

• 0

• Undefined

• -1

• 1

At which angle is the cotangent function undefined?

• 5π/4

• π/2

• π

• 3π/4

What is the period of the cotangent function?

• 2π

• π

• π/2

• 3π

Where does the cotangent graph intersect the x-axis?

• At π/2

• At the origin

• At 3π/2

• At π