Trigonometric Functions and Their Properties

This video tutorial explores trigonometric graphs, focusing on the sine, cosine, and tangent functions. It covers the properties and patterns of these graphs, including their periodicity and symmetry. The sine and cosine graphs are waves repeating every 360 degrees, while the tangent graph has asymptotes and repeats every 180 degrees. The video also highlights the lines of symmetry for each graph.

What is the maximum value of the sine graph between 0 and 360 degrees?

• 2

• 1

• 0

• -1

At which degree does the sine graph cross the x-axis for the first time?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What is the starting point of the cosine graph?

• 0, 0

• 0, 1

• 1, 0

• -1, 0

Where does the cosine graph have its minimum value between 0 and 360 degrees?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

How often does the cosine graph repeat its pattern?

• Every 360 degrees

• Every 720 degrees

• Every 180 degrees

• Every 90 degrees

What is unique about the tangent graph compared to sine and cosine graphs?

• It starts at 1

• It repeats every 360 degrees

• It is a wave

• It has asymptotes

At which degree does the first asymptote appear in the tangent graph?

• 180 degrees

• 90 degrees

• 0 degrees

• 270 degrees

How often do asymptotes appear in the tangent graph?

• Every 360 degrees

• Every 270 degrees

• Every 180 degrees

• Every 90 degrees

What happens to the tangent graph as it approaches an asymptote?

• It crosses the asymptote

• It stops

• It touches the asymptote

• It gets closer but never touches

What is the starting point of the tangent graph?

• -1, 0

• 0, 0

• 0, 1

• 1, 0