Determine two coterminal angles for 900 degrees

The video tutorial explains coterminal angles, emphasizing that there are infinitely many such angles. It describes the concepts of initial and terminal sides of an angle and demonstrates how to find coterminal angles by adding or subtracting 360 degrees. The tutorial focuses on finding the smallest positive and negative coterminal angles, using examples to illustrate the process. The key takeaway is understanding the method to calculate coterminal angles and recognizing the infinite possibilities of such angles.

What is a coterminal angle?

• An angle that is always 90 degrees

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

• An angle that is always less than 180 degrees

• An angle that is always more than 360 degrees

How can you find a coterminal angle?

• By multiplying the angle by 2

• By adding or subtracting 180 degrees

• By adding or subtracting 360 degrees

• By dividing the angle by 2

If you have an angle of 900 degrees, what is the first step to find the smallest positive coterminal angle?

• Add 360 degrees

• Subtract 180 degrees

• Multiply by 2

• Subtract 360 degrees

What is the smallest positive coterminal angle of 900 degrees?

• 540 degrees

• 180 degrees

• 720 degrees

• 360 degrees

Why is it important to stop subtracting 360 degrees once the smallest angles are found?

• To keep the angle within a 180-degree range

• To avoid getting larger negative numbers

• To ensure the angle remains positive

• To prevent the angle from becoming zero