Unit Circle Review

For which of these angles is the sine negative? Select all that apply.

• π/4

• -π/3

• -2π/3

• -4π/3

• -11π/6

Tags

CCSS.HSF.TF.A.2

What are the coordinates of point A on the unit circle?

• (cos(π/4), sin(π/4))

• (cos(π/2), sin(π/2))

• (cos(π), sin(π))

• (cos(2π), sin(2π))

Tags

CCSS.HSF.TF.A.2

Which of the following points corresponds to the coordinates (cos(2π), sin(2π))?

• Point A

• Point B

• Point C

• Point D

Tags

CCSS.HSF.TF.A.2

At which angle does the function f(θ) = sin(θ) meet the x-axis?

• π/2

• π

• 2π

• 0

Tags

CCSS.HSF.TF.B.7

How does the value of the function f(θ) = sin(θ) change when 2π radians are added to the input θ?

• It doubles in value.

• It becomes zero.

• It stays the same.

• It becomes negative.

Tags

CCSS.HSF.TF.A.4

At what angle θ does the function f(θ) = sin(θ) have a maximum value?

• π/2

• π

• 3π/2

• 2π

Tags

CCSS.HSF.TF.A.4

For a point P at (1,0) on a unit circle, which positive angle of rotation takes P to the same location as a -π radians rotation?

• π/4 radians

• π/2 radians

• π radians

• 3π/2 radians

In which quadrant are both the sine and the tangent of an angle negative?

• First

• Second

• Third

• Fourth

Tags

CCSS.HSF.TF.A.2

Which quadrant does the angle (13π/4) radians fall into?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

Is the sine of the angle (10π/3) radians positive or negative?

• Positive

• Negative

Tags

CCSS.HSF.TF.A.2