Graphing the Secant Function by Using Cosine

The video tutorial explains how to graph the cosecant function by first graphing its reciprocal, the sine function. It covers key concepts such as amplitude, period, and vertical asymptotes. The instructor demonstrates how to identify important points on the sine graph and use them to create the cosecant graph, emphasizing the creation of vertical asymptotes at intercepts. The tutorial concludes with the removal of the sine graph, leaving the completed cosecant graph.

What is the relationship between the sine and cosecant functions?

• Cosecant is the inverse of sine.

• Cosecant is the reciprocal of sine.

• Cosecant is the reciprocal of cosine.

• Cosecant is the derivative of sine.

How is the amplitude of a sine graph determined?

• By the phase shift of the graph.

• By the period of the graph.

• By the absolute value of the coefficient of sine.

• By the coefficient of x in the equation.

What is the formula for calculating the period of a sine graph?

• 2π divided by B

• π multiplied by B

• π divided by B

• 2π multiplied by B

How many important points are used to divide the period of a sine graph?

• Two

• Three

• Four

• Five

What happens at the intercepts of a sine graph when graphing cosecant?

• They become horizontal asymptotes.

• They become vertical asymptotes.

• They become points of inflection.

• They remain unchanged.

What is the behavior of the cosecant graph near its vertical asymptotes?

• It oscillates around the asymptotes.

• It becomes a straight line.

• It approaches but never crosses the asymptotes.

• It crosses the asymptotes.

What shape do the maximum and minimum points of the cosecant graph form?

• Linear segments

• Circular curves

• Elliptical curves

• Parabolic curves