Graph the Secant Function with a Phase Shift of pi Halves

The video tutorial explains how to graph the secant function by first graphing its reciprocal, the cosine function. It covers the basic trigonometric information needed, such as amplitude, period, and shifts. The tutorial then demonstrates how to graph the cosine function, set up the graph scale, and finally relate the secant graph to the cosine graph by identifying asymptotes and maximum/minimum points.

What is the first step in graphing Y = secant(X - π/2)?

• Graph the cotangent function

• Graph the reciprocal function, cosine

• Graph the tangent function

• Graph the sine function

Which of the following is used to determine the period of a trigonometric function?

• Amplitude

• 2π / B

• Vertical shift

• Horizontal shift

What is the horizontal shift for the function Y = cosine(X - π/2)?

• 0

• π

• π/2

• 2π

When graphing the cosine function, what is the significance of the X scale?

• It defines the horizontal shift

• It is the distance between important points

• It sets the vertical shift

• It determines the amplitude

How many important points are there within one period of the cosine function?

• Five

• Four

• Three

• Two

What happens at the X intercepts of the cosine function when graphing the secant function?

• The secant function has a minimum

• The secant function is undefined

• The secant function has a maximum

• The secant function equals zero

What do the maximum and minimum points of the cosine function correspond to in the secant function?

• They remain the same

• They are ignored

• They become intercepts

• They become asymptotes