Understanding Coterminal Angles

What is a coterminal angle?

• An angle that is always positive

• An angle that is less than 90 degrees

• An angle that is always negative

• An angle that shares the same initial and terminal sides

How do you find a coterminal angle between 0 and 2π radians?

• By adding or subtracting π

• By dividing by 2π

• By multiplying by 2π

• By adding or subtracting 2π

What is the coterminal angle of 13π/4 radians?

• 3π/4

• 5π/4

• 9π/4

• 7π/4

Which method can be used to find a coterminal angle?

• Both addition and subtraction

• Only addition

• Only subtraction

• Neither addition nor subtraction

What is the first step in finding a coterminal angle for a negative angle?

• Subtract 2π

• Divide by 2π

• Add 2π

• Multiply by 2π

How many times do you need to add 2π to -24π/5 to find a positive coterminal angle?

• Four times

• Once

• Twice

• Three times

What is the coterminal angle of -24π/5 radians?

• 10π/5

• 8π/5

• 6π/5

• 4π/5

Why might it be useful to convert radians to degrees?

• To make calculations more complex

• To increase the angle's value

• To avoid using the unit circle

• To simplify the drawing of angles

What is the degree equivalent of 4π/5 radians?

• 36°

• 54°

• 144°

• 72°

What is the purpose of finding coterminal angles?

• To change the angle's size

• To find angles with different initial sides

• To find angles with the same initial and terminal sides

• To convert angles to degrees