Learn to find the asymptotes with sine in the denominator for limits

The video tutorial explains vertical asymptotes in graphs, focusing on when the sine of X equals zero. It revisits trigonometry concepts, using the unit circle to identify angles where the sine value is zero. The tutorial highlights the repeating pattern of these angles and explains how this leads to vertical asymptotes at multiples of Pi.

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

• A line where the graph is horizontal

• A point where the graph reaches its maximum

• A line where the graph is undefined

• A point where the graph crosses the x-axis

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

• The radius of the circle

• The angle in degrees

• The y-coordinate of a point

• The x-coordinate of a point

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

• π/2 and 3π/2

• π/6 and 5π/6

• 0 and π

• π/4 and 3π/4

How can the angles where sine is zero be expressed in terms of π?

• nπ/2, where n is an integer

• nπ, where n is an integer

• nπ/4, where n is an integer

• nπ/6, where n is an integer

What type of discontinuity is associated with vertical asymptotes?

• Non-removable

• Oscillating

• Jump

• Removable