Coterminal Angles and Their Properties

The video tutorial explains coterminal angles, which are angles that terminate at the same point on the unit circle. It covers how to find coterminal angles using both degrees and radians by adding or subtracting full rotations (360 degrees or 2π radians). An example problem is provided to demonstrate finding both positive and negative coterminal angles for a given angle, such as 700 degrees. The tutorial concludes with a summary of the methods discussed.

What does the term 'coterminal' refer to in the context of angles?

• Angles that have the same initial side

• Angles that have the same terminal side

• Angles that are complementary

• Angles that are supplementary

If you add 360 degrees to an angle, what happens to its terminal side?

• It doubles in size

• It becomes a negative angle

• It remains in the same position

• It moves to a new position

What is the result of subtracting 360 degrees from a 30-degree angle?

• 390 degrees

• -330 degrees

• 330 degrees

• -30 degrees

How do you find a coterminal angle in radians?

• Divide by π

• Multiply by 2π

• Add or subtract 2π

• Add or subtract π

What happens when you add 2π to an angle in radians?

• The angle becomes negative

• The angle's terminal side changes

• The angle doubles

• The angle's terminal side remains the same

In the example problem, what is the positive coterminal angle for 700 degrees?

• 700 degrees

• 1060 degrees

• 340 degrees

• 360 degrees

How many times do you need to subtract 360 from 700 to get a negative angle?

• Four times

• Three times

• Twice

• Once

What is the negative coterminal angle for 700 degrees after subtracting 360 twice?

• -20 degrees

• -360 degrees

• -700 degrees

• -340 degrees

What is the main method to find coterminal angles?

• Adding or subtracting 180 degrees

• Adding or subtracting 360 degrees or 2π

• Dividing by 2

• Multiplying by 2

What is the significance of the unit circle in finding coterminal angles?

• It is used to measure angles in radians

• It helps in finding complementary angles

• It shows that coterminal angles have the same terminal point

• It helps in finding supplementary angles