Master graphing cosecant and secant with a change in period

The video tutorial explains how to graph secant and cosecant functions by understanding their reciprocal relationships with sine and cosine. It covers the importance of identifying asymptotes, the role of period and amplitude, and provides step-by-step instructions for graphing both functions. The tutorial emphasizes the transformation of sine and cosine graphs to their respective secant and cosecant graphs, highlighting key points such as intercepts and asymptotes.

What is the reciprocal function of cosecant?

• Cosine

• Tangent

• Cotangent

• Sine

Why are asymptotes important in graphing cosecant and secant functions?

• They indicate where the graph is zero.

• They show where the graph is undefined.

• They are not important.

• They mark the maximum points.

How does the period of a secant or cosecant function relate to its reciprocal function?

• It is double the period of the reciprocal function.

• It is the same as the reciprocal function.

• It is half the period of the reciprocal function.

• It is unrelated to the reciprocal function.

What is the effect of amplitude on the graph of a sine function?

• It determines the horizontal stretch.

• It affects the vertical stretch.

• It changes the period.

• It shifts the graph vertically.

When graphing cosecant, what should be done at the intercepts of the sine graph?

• Draw asymptotes.

• Draw minimum points.

• Draw horizontal lines.

• Draw maximum points.

What is the first step in graphing a cosecant function?

• Graph the sine function.

• Graph the tangent function.

• Graph the cotangent function.

• Graph the cosine function.

How does a negative sign in front of the secant function affect its graph?

• It does not affect the graph.

• It shifts the graph horizontally.

• It reflects the graph over the x-axis.

• It reflects the graph over the y-axis.

What is the reciprocal function of secant?

• Sine

• Cosine

• Cotangent

• Tangent

In graphing secant, what is the significance of the cosine graph's intercepts?

• They are where the graph is zero.

• They indicate minimum points.

• They indicate maximum points.

• They are where asymptotes are drawn.

What is the period of a secant function if B is 1/2?

• 4π

• 8π

• 2π

• π