Trigonometric Graphs and Their Properties

This video tutorial covers the key features of sine, cosine, and tangent graphs. It explains the periodic nature of these graphs and how they repeat over specific intervals. The sine and cosine graphs have a period of 360 degrees, while the tangent graph has a period of 180 degrees. The tutorial also highlights the use of calculators to determine graph values and provides information on practice exams available online.

What is the starting point of the sine graph on the coordinate plane?

• (0, 1)

• (0, 0)

• (90, 1)

• (180, 0)

At what angle does the sine graph reach its maximum value?

• 90 degrees

• 270 degrees

• 180 degrees

• 0 degrees

What is the period of the sine graph?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

How does the cosine graph differ from the sine graph?

• It starts at (0, 0)

• It has no maximum value

• It is not periodic

• It starts at (0, 1)

What is the value of cos(90 degrees)?

• 1

• 0

• -1

• Undefined

What is the period of the tangent graph?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

Where do the asymptotes of the tangent graph occur?

• At 0 and 180 degrees

• At 90 and 270 degrees

• At -90 and 90 degrees

• At 180 and 360 degrees

What is a key feature of the tangent graph?

• It is not periodic

• It crosses the origin

• It starts at (0, 1)

• It has a maximum value of 1

What is the main difference in the period of sine/cosine graphs compared to the tangent graph?

• Sine/cosine have a period of 360 degrees

• Tangent has a period of 90 degrees

• Tangent has a period of 360 degrees

• Sine/cosine have a period of 180 degrees

Where can you find an online exam for practice on these graphs?

• In the video description

• On the revision platform

• In the textbook

• In the classroom