Trig values by reference angle and quadrant sign, and the reciprocal ratios

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   Tala's robot turns -60°, clockwise, on a unit circle floor grid. What is cos(-60°)?

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

   Zee's bike wheel turns 510° from the positive x-axis. What is sin 510°?

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

   Esme works out tan 330° on a unit circle worksheet. What is tan 330°?

   • -√3
   • -√3/3
   • 1/2
   • √3/3
4. 4.

   Jun turns a clock hand -210°, clockwise from the positive x-axis. What is cos(-210°)?

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

   Kira's robot drives around a unit circle on a floor grid and stops at (-5/13, 12/13) after a turn θ. What is sec θ?

   -13/5
6. 6.

   Milo's robot drives around a unit circle on a floor grid and stops at (-60/61, 11/61) after a turn θ. What is cot θ?

   -60/11
7. 7.

   Noah marks the point (-21/29, 20/29) on a unit circle worksheet, at the end of a turn θ. What is cot θ?

   -21/20
8. 8.

   Ren's robot turns 4 radians, and Ren finds cos 4 on a calculator to the nearest thousandth. What is cos 4?

   -0.654
9. 9.

   Tala finds tan 160° on a calculator, to the nearest thousandth, for a unit circle worksheet. What is tan 160°?

   -0.364
10. 10.

    Zee's robot turns 5 radians, and Zee finds sin 5 on a calculator to the nearest thousandth. What is sin 5?

    -0.959