Understanding Cosecant and Secant Functions

This video tutorial covers the graphing of cosecant and secant functions, explaining their reciprocal relationships with sine and cosine. It details how to determine the domain, range, and period of these functions, and provides step-by-step instructions for graphing them. The video also includes a demonstration using a graphing calculator to plot these functions.

What are the main objectives of the video tutorial?

• To graph cosecant and secant functions and understand their properties

• To learn about the history of trigonometry

• To solve complex trigonometric equations

• To explore the applications of trigonometry in real life

Tags

CCSS.HSF.TF.A.2

Which of the following is true about the relationship between sine and cosecant?

• They are equal to each other

• They are inverses of each other

• They are both always positive

• They are unrelated functions

Tags

CCSS.HSF.TF.A.2

What happens to the cosecant function when sine theta equals zero?

• Cosecant theta is zero

• Cosecant theta is undefined

• Cosecant theta is one

• Cosecant theta is negative

What is the period of the cosecant function?

• PI

• 2PI

• PI/2

• 3PI

Tags

CCSS.HSF.TF.A.2

How is the secant function related to cosine?

• Secant is unrelated to cosine

• Secant is the square of cosine

• Secant is the reciprocal of cosine

• Secant is the derivative of cosine

Where does the secant function have vertical asymptotes?

• At multiples of PI

• At multiples of 2PI

• At odd multiples of PI/2

• At even multiples of PI/2

What is the range of the secant function?

• From negative infinity to -1 and 1 to positive infinity

• From 0 to infinity

• From -1 to 1

• From -2 to 2

What is the period of the secant function?

• PI

• 2PI

• PI/2

• PI/4

How can you plot secant values using a graphing calculator?

• By using the secant button

• By using the tangent function

• By graphing one over cosine

• By using the sine function

Why is it easier to use degrees in a graphing calculator for plotting secant?

• Because radians are not supported

• To make calculations faster

• To avoid dealing with decimal approximations

• Because secant is only defined in degrees