How to find the reference angle of an angle larger than 2pi

The video tutorial explores the concept of angles, focusing on graphing them and understanding coterminal angles. It explains how to break angles into parts, graph them, and identify coterminal angles that share the same initial and terminal sides. The tutorial also covers reference angles, explaining how they are calculated and their significance in angle measurement. The concept of periods and their relation to angle rotation is also discussed, emphasizing the idea that extra rotations do not change the initial or terminal sides of an angle.

What is the first step in graphing a negative angle?

• Multiply by 4

• Add 2π to it

• Break it into parts

• Convert it to degrees

What defines coterminal angles?

• Angles that are multiples of π

• Angles that are less than 90 degrees

• Angles with the same initial and terminal sides

• Angles with different initial sides

How can you express an angle in terms of a period?

• By converting it to degrees

• By adding 2π to it

• By subtracting π from it

• By expressing it as a sum of a full revolution and a remainder

What is the reference angle for -9π/4?

• π/2

• 3π/4

• 2π

• π/4

Why is the reference angle always positive?

• Because it is always less than π

• Because it represents a direction

• Because it is a measurement, not a direction

• Because it is measured in degrees