Find the reference angle and sketch both angles in standard position

Why is it important to find a coterminal angle between 0 and 2π?

• To make the angle a multiple of π

• To avoid negative angles

• To simplify the calculation of trigonometric functions

• To ensure the angle is acute

What is the coterminal angle of 10π/3 when reduced between 0 and 2π?

• 6π/3

• 4π/3

• 2π/3

• 8π/3

How is the reference angle for 4π/3 calculated in the third quadrant?

• Theta prime equals Theta plus π

• Theta prime equals π minus Theta

• Theta prime equals Theta minus π

• Theta prime equals 2π minus Theta

What is the reference angle for 4π/3?

• π/4

• π/3

• π/2

• π/6

What are the sine and cosine values for the reference angle π/3 on the unit circle?

• 1/2 and sqrt(3)/2

• sqrt(3)/2 and 1/2

• -1/2 and -sqrt(3)/2

• -sqrt(3)/2 and -1/2

In which quadrant are both the x and y coordinates negative?

• Third quadrant

• Second quadrant

• First quadrant

• Fourth quadrant

What is the tangent of 10π/3?

• sqrt(3)

• 1

• -1

• -sqrt(3)