The unit circle, and exact trig values of the special angles

Answer Key - Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Noah fills in a unit circle worksheet at π/3 radians. What is sin(π/3)?

   • 1/2
   • √3
   • √2/2
   • √3/2
2. 2.

   Pia's math book asks for the exact value of cos(π/4). What is cos(π/4)?

   • √3/2
   • 1/2
   • √2/2
   • 1
3. 3.

   Tala's math book asks for the exact value of tan(π/3). What is tan(π/3)?

   • √3
   • √2/2
   • √3/2
   • √3/3
4. 4.

   Zee fills in a unit circle worksheet at π/6 radians. What is cos(π/6)?

   • √3/2
   • √3
   • √2/2
   • 1/2
5. 5.

   Jun marks the point (-12/13, 5/13) on a unit circle worksheet, at the end of a turn θ. What is tan θ?

   -5/12
6. 6.

   Kira's robot drives around a unit circle on a floor grid and stops at (-15/17, -8/17) after a turn θ. What is tan θ?

   8/15
7. 7.

   Luz marks the point (-9/41, 40/41) on a unit circle worksheet, at the end of a turn θ. What is tan θ?

   -40/9
8. 8.

   Milo's robot starts at (1, 0) on a unit circle floor grid and turns π/6 radians counterclockwise. At which point does it stop?

   • (√3/2, 1/2)
   • (√3, 1)
   • (√2/2, √2/2)
   • (1/2, √3/2)
9. 9.

   Noah turns a spinner arrow of length 1 through π/4 radians from the positive x-axis. At which point does its tip stop?

   • (√3/2, 1/2)
   • (1/2, √3/2)
   • (√2/2, √2/2)
   • (1, 1)
10. 10.

    Pia's robot starts at (1, 0) on a unit circle floor grid and turns π/3 radians counterclockwise. At which point does it stop?

    • (1, √3)
    • (√3/2, 1/2)
    • (√2/2, √2/2)
    • (1/2, √3/2)