Learn How to Identify the Asymptotes of a CSC Function

The video tutorial explains the concept of cosecant as the reciprocal of sine and discusses the graphing of cosecant functions. It highlights the importance of understanding asymptotes, which occur where sine is zero, making cosecant undefined. The tutorial also covers how the period of the cosecant function changes when the function is modified, specifically when dealing with cosecant of X/2, resulting in a doubled period. The use of a graphing calculator is suggested for verification.

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Tangent

• Cotangent

At which angles is the sine function zero, causing the cosecant to be undefined?

• π/4 and 3π/4

• π/2 and 3π/2

• 0 and π

• π/3 and 2π/3

How are the asymptotes of the cosecant function represented?

• X = πN

• X = Nπ/4

• X = 2πN

• X = Nπ/2

What happens to the period of the cosecant function when the argument is halved?

• It becomes zero

• It is doubled

• It is halved

• It remains the same

If the original period of cosecant is 2π, what is the new period when the argument is X/2?

• π

• 2π

• 4π

• 8π