Sin Cos and Tan on the Unit Circle

sin π/4

• √2∕2

• 1/2

• √3/2

• 0

tan 7π/4

• -1

• 1

• √2/2

• undefined

sin 7π/6

• 1/2

• -1/2

• √3/2

• -√3/2

sin 2π/3

• 1/2

• -1/2

• √3/2

• -√3/2

The cosine of an angle is negative. In which quadrant(s) can the solution be found.

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

sinθ is positive in

• the 1st and 2nd quadrants

• the 1st and 3rd quadrants

• the 1st and 4th quadrants

• the 2nd and 3rd quadrants

Based on the unit circle, what is the value of sin?

• y

• x

• x/y

• y/x

• undefined

Answer explanation

Which best describes the function shown in the graph?

• The function can measure the vertical displacement from the x-axis on the unit circle as angle moves in a counterclockwise direction.

• The function can measure the horizontal displacement from the x-axis on the unit circle as angle moves in a counterclockwise direction.

• The function can measure the vertical displacement from the y-axis on the unit circle as angle moves in a counterclockwise direction.

• The function can measure the horizontal displacement from the y-axis on the unit circle as angle moves in a counterclockwise direction.

• cosθ

• OP

• 1

• sinθ