Find the coordinate point of the given angle

The video tutorial explains how to determine a point on the unit circle using the first quadrant. It emphasizes the importance of understanding reflections and the positive direction. The tutorial walks through calculating the terminal side of an angle, specifically 11π/4, and explains how to find the corresponding point by considering reflections and coordinate changes in the second quadrant.

Why is it sufficient to only know the first quadrant of the unit circle?

• Because the first quadrant is the easiest to understand.

• Because the first quadrant is the largest.

• Because reflections can be used to find points in other quadrants.

• Because the first quadrant contains all possible angles.

What is the significance of the angle 11π/4 in the unit circle?

• It is a full circle.

• It is less than a half circle.

• It is a half circle.

• It is more than a full circle.

How do you determine the terminal side of an angle like 11π/4?

• By estimating visually.

• By using a protractor.

• By counting π/4 increments beyond 2π.

• By dividing the circle into 11 equal parts.

What happens to the coordinates of a point when it is reflected into the second quadrant?

• The y-coordinate becomes negative.

• The x-coordinate becomes negative.

• Both coordinates become negative.

• Both coordinates remain positive.

What are the coordinates of the point in the second quadrant for the angle 11π/4?

• (sqrt 2 / 2, -sqrt 2 / 2)

• (sqrt 2 / 2, sqrt 2 / 2)

• (-sqrt 2 / 2, sqrt 2 / 2)

• (-sqrt 2 / 2, -sqrt 2 / 2)