Learn to find the asymptotes with sine in the denominator

The video tutorial explains vertical asymptotes, focusing on when the sine of X equals zero. It revisits trigonometry concepts, using the unit circle to identify angles where sine is zero. The tutorial highlights the repeating nature of these angles and their role in forming vertical asymptotes. It introduces a generalization using a variable N to describe these asymptotes and concludes with an invitation for questions.

What is a vertical asymptote in the context of a graph?

• A point where the graph is minimum

• A point where the graph is maximum

• A point where the graph is zero

• A point where the graph is undefined

In trigonometry, what does the sine function represent on the unit circle?

• The X coordinate

• The angle

• The Y coordinate

• The radius

At which angles is the sine value zero on the unit circle?

• 0 and π

• π/6 and 5π/6

• π/2 and 3π/2

• π/4 and 3π/4

How can the angles where sine is zero be expressed using a variable?

• Nπ, where N is an integer

• Nπ/4, where N is an integer

• Nπ/6, where N is an integer

• Nπ/2, where N is an integer

Why do these angles result in vertical asymptotes?

• Because the sine value is undefined

• Because the sine value is zero

• Because the sine value is maximum

• Because the sine value is negative