Co-terminal Angles and Angle Conversion

The video tutorial explains how to find co-terminal angles by understanding initial and terminal sides, exploring negative and positive directions, and using algebraic methods. It emphasizes adding and subtracting 2π to find angles and addresses the challenge of working with fractions in these calculations.

What is a co-terminal angle?

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

• An angle that is always positive.

• An angle that is always negative.

• An angle that is exactly 90 degrees.

What is the initial side of an angle?

• The side where the angle measurement starts.

• The side where the angle measurement ends.

• The side that is always vertical.

• The side that is always horizontal.

How does the negative direction affect angle measurement?

• It has no effect on the angle measurement.

• It increases the angle measurement.

• It decreases the angle measurement.

• It reverses the angle measurement.

What is the significance of 3π/4 in angle measurement?

• It represents a straight line.

• It represents a right angle.

• It represents a full circle.

• It represents an angle in the negative direction.

What is the value of π in terms of angle measurement?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

How can you find a co-terminal angle?

• By adding or subtracting π.

• By dividing by 2π.

• By multiplying by 2π.

• By adding or subtracting 2π.

What does adding 2π to an angle do?

• It reverses the angle.

• It halves the angle.

• It doubles the angle.

• It brings you back to the same angle.

What is the algebraic method to find co-terminal angles?

• Multiply the angle by 2π.

• Add and subtract 2π from the given angle.

• Add and subtract π from the given angle.

• Divide the angle by 2π.

How do you handle fractions when finding co-terminal angles?

• Convert fractions to decimals.

• Multiply fractions by 2.

• Ignore the fractions.

• Manipulate the fractions to have a common denominator.

What is the result of adding 8π/4 to 3π/4?

• 11π/4

• 5π/4

• 7π/4

• 9π/4