Find the coordinate point of the given angle

The video tutorial explains how to sketch angles like 14π/3, find coterminal angles by subtracting 2π, and reflect points over the X-axis. It emphasizes understanding the positive direction of angles and calculating the smallest positive coterminal angle. The tutorial concludes with a demonstration of reflecting a point over the X-axis, resulting in a change in the X-coordinate's sign.

What is the direction of the angle 14π/3 on the unit circle?

• Both directions

• Negative direction

• No direction

• Positive direction

How can you find the smallest positive coterminal angle for 14π/3?

• Divide by 2π

• Subtract 2π

• Add 2π

• Multiply by 2π

What is the coterminal angle of 14π/3 after subtracting 6π/3 twice?

• 2π/3

• 8π/3

• 10π/3

• 4π/3

What happens to the X-coordinate of a point when it is reflected over the X-axis?

• It doubles

• It becomes positive

• It becomes negative

• It remains the same

What are the coordinates of the point at t = 2π/3 after reflection over the X-axis?

• (-1/2, sqrt 3 / 2)

• (-1/2, -sqrt 3 / 2)

• (1/2, sqrt 3 / 2)

• (1/2, -sqrt 3 / 2)