What do I have to know to graph the tangent and cotangent function

The video tutorial covers essential concepts needed before starting a course on tangent and cotangent functions. It begins with an introduction to evaluating tangent and cotangent on the unit circle, emphasizing their reciprocal nature. The tutorial then explains the significance of asymptotes, particularly when denominators equal zero, making values undefined. It also discusses graphing various functions, including quadratic, logarithmic, and rational, highlighting the importance of understanding input and output. Finally, the video stresses the role of fractions in identifying phase shifts, periods, and scales, providing a comprehensive foundation for the course.

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

• They are both always positive.

• They are both undefined at the same points.

• They are reciprocals of each other.

• They are equal to each other.

When does an asymptote occur in the context of tangent and cotangent functions?

• When the numerator is zero.

• When the denominator is zero.

• When the function is continuous.

• When both numerator and denominator are zero.

Why is it important to understand asymptotes in rational functions?

• They help in finding the maximum value.

• They indicate points where the function is undefined.

• They show where the function is increasing.

• They are used to calculate the derivative.

What is crucial to understand when graphing functions?

• The color of the graph.

• The input-output relationship.

• The size of the graph paper.

• The type of pencil used.

How can understanding fractions benefit you in this course?

• They are not relevant to this course.

• They help in drawing straight lines.

• They make calculations more complex.

• They are used to simplify equations.