Secant Function Concepts and Properties

This lesson explains how to graph the secant function over a specified interval, highlighting the relationship between secant and cosine functions. It covers graph settings, the period of the secant function, and the concept of vertical asymptotes. The video also demonstrates how to find additional points on the secant graph using the reciprocal relationship with cosine values.

What is the relationship between secant x and cosine x?

• Secant x is the square of cosine x

• Secant x is the reciprocal of cosine x

• Secant x is the integral of cosine x

• Secant x is the derivative of cosine x

Why does the secant function have vertical asymptotes?

• Because cosine x is always one

• Because secant x is always positive

• Because secant x is always negative

• Because cosine x is zero at certain points

What is the x-axis interval set for graphing in Desmos?

• From -90 to 90 degrees

• From -180 to 180 degrees

• From -400 to 400 degrees

• From -360 to 360 degrees

What is the period of the secant function?

• 720 degrees

• 360 degrees

• 90 degrees

• 180 degrees

Why does the secant function not have an amplitude?

• Because it is a linear function

• Because it has a constant value

• Because it extends infinitely in both directions

• Because it is a periodic function

At which points does the secant function have vertical asymptotes?

• x = -270, -90, 90, 270

• x = -360, 0, 360

• x = -90, 0, 90

• x = -180, 0, 180

Where is the secant function equal to one?

• Where cosine x is one

• Where cosine x is zero

• Where cosine x is two

• Where cosine x is negative one

How can additional points on the secant graph be found?

• By using the square of cosine values

• By using the reciprocal of cosine values

• By using the integral of cosine

• By using the derivative of cosine

What is the secant of 60 degrees if cosine of 60 degrees is 1/2?

• 1

• 0

• 2

• 1/2

What is the secant of -60 degrees if cosine of -60 degrees is 1/2?

• 0

• 1

• 2

• 1/2