Using coterminal angles to evaluate for the sine of an angle

The video tutorial explains how to graph the angle 9π/4 on the unit circle, breaking it down into sections and finding coterminal angles for simplification. It emphasizes the importance of memorizing key points on the unit circle, particularly in the first quadrant, to easily determine the sine of π/4. The tutorial concludes with a review and addresses questions related to the topic.

What is the initial step when graphing an angle like 9π/4?

• Find the coterminal angle

• Determine the quadrant

• Calculate the sine value

• Identify the initial side

How do you determine the position of 9π/4 on the unit circle?

• By dividing the circle into halves

• By subtracting 2π

• By calculating the sine value

• By using the radius to wrap around the circle

What is a coterminal angle?

• An angle that is less than 2π

• An angle that is greater than 2π

• An angle that shares the same terminal side

• An angle that is exactly 360 degrees

How can you simplify finding coterminal angles for large angles?

• By subtracting 2π repeatedly

• By adding 2π repeatedly

• By dividing the angle by 2

• By multiplying the angle by 2

What is the sine of π/4?

• 0

• sqrt 2 / 2

• sqrt 3 / 2

• 1/2

Which coordinate represents the sine value on the unit circle?

• Z-coordinate

• Both X and Y coordinates

• X-coordinate

• Y-coordinate

What is the coordinate point for 45 degrees on the unit circle?

• (0, 1)

• (1/2, sqrt 3 / 2)

• (1, 0)

• (sqrt 2 / 2, sqrt 2 / 2)