Finding two coterminal angles given in radians

The video tutorial explains how to find coterminal angles, which are angles sharing the same initial and terminal sides. It covers the concept of initial and terminal sides, the significance of direction (positive or negative), and how to calculate coterminal angles algebraically by adding or subtracting 2π. The tutorial also addresses handling fractions in these calculations.

What is a coterminal angle?

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

• An angle that is always negative.

• An angle that is exactly 90 degrees.

• An angle that is always positive.

How can you represent an angle in a negative direction?

• By subtracting 360 degrees.

• By moving counterclockwise from the initial side.

• By adding 180 degrees.

• By moving clockwise from the initial side.

What is the algebraic method to find coterminal angles?

• Add and subtract 90 degrees.

• Add and subtract 180 degrees.

• Add and subtract π/2.

• Add and subtract 2π.

Why is 2π added or subtracted to find coterminal angles?

• Because it represents a straight line.

• Because it represents a quarter circle.

• Because it represents a half circle.

• Because it represents a full circle.

How do you handle fractions when calculating coterminal angles?

• Multiply all terms by 2.

• Convert all terms to have a common denominator.

• Divide all terms by 2.

• Ignore the fractions.

What is the result of adding 2π to an angle?

• It changes the angle's position.

• It doubles the angle's size.

• It halves the angle's size.

• It keeps the angle at the same position.

What is the result of subtracting 2π from an angle?

• It changes the angle's position.

• It doubles the angle's size.

• It keeps the angle at the same position.

• It halves the angle's size.