How to determine the max and min of a sine on a closed interval

The video tutorial covers the sine function, focusing on its key points and graphing from 0 to 2π. It explains the concept of intervals, maximum, and minimum values, and how these relate to the graph. The tutorial also discusses the importance of understanding these values in terms of halves for easier calculation. The video concludes with a summary of the maximum and minimum values and their specific locations on the graph.

What is the value of sine at π/2?

• 1

• -1

• 2

• 0

Which point on the sine graph corresponds to a y-coordinate of -1?

• 2π

• 3π/2

• π

• π/2

How does the sine graph behave as it continues around the unit circle?

• It continues periodically

• It stops

• It reverses

• It becomes linear

What is the maximum value of the sine function?

• -1

• 1

• 2

• 0

At which x-coordinate does the sine function reach its minimum value?

• π

• π/2

• 3π/2

• 2π