Understanding Angles and Tangents

The video tutorial explains the concept of period as an aid in understanding angles, particularly focusing on tangent and coterminal angles. It discusses the unit circle, revolutions, and how angles can be simplified using the coterminal concept. The tutorial also covers graphing angles and calculating the tangent of angles by considering reflections in the unit circle.

What is the significance of a period in relation to a circle?

• It is the angle at which a circle starts.

• It is the distance covered in a straight line.

• It is the radius of the circle.

• It represents the time taken to complete one rotation.

How many degrees are in one full rotation around a circle?

• 540 degrees

• 720 degrees

• 360 degrees

• 180 degrees

What is a coterminal angle?

• An angle that shares the same initial and terminal sides as another angle.

• An angle that is greater than 360 degrees.

• An angle that is exactly 180 degrees.

• An angle that is less than 90 degrees.

Why is it easier to use coterminal angles for calculations?

• They are always positive.

• They simplify calculations by avoiding full rotations.

• They are easier to draw.

• They are always smaller than 90 degrees.

What is the tangent of an angle in the unit circle?

• The ratio of the x-coordinate to the y-coordinate.

• The sum of the x and y coordinates.

• The ratio of the y-coordinate to the x-coordinate.

• The difference between the x and y coordinates.

How do you find the tangent of 675 degrees using coterminal angles?

• By adding 90 degrees to 675 degrees.

• By dividing 675 degrees by 2.

• By subtracting 180 degrees from 675 degrees.

• By using the tangent of 315 degrees.

What is the equivalent angle of 675 degrees in the unit circle?

• 45 degrees

• 90 degrees

• 360 degrees

• 315 degrees

What is the y-coordinate of a 45-degree angle in the first quadrant?

• Square root of 3 over 2

• 1

• 0

• Square root of 2 over 2

How do you determine the sign of the tangent in different quadrants?

• By checking the sign of the y-coordinate.

• By checking the sign of the x-coordinate.

• By checking the signs of both coordinates.

• By checking the angle's degree.

What is the tangent of 315 degrees?

• 1

• -1

• 0

• Square root of 2