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

Answer Key - Grade 11 Math Worksheet - Challenge Me

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

1. 1.

   Jun's robot turns -4π/3 radians, clockwise, on a unit circle floor grid. What is cos(-4π/3)?

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

   Kira's math book asks for the exact value of tan(5π/3). What is tan(5π/3)?

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

   Luz works out sin(11π/6) on a unit circle worksheet. What is sin(11π/6)?

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

   Milo finds csc 220° on a calculator, to the nearest thousandth, for a unit circle worksheet. What is csc 220°?

   -1.556
5. 5.

   Noah's robot turns 2 radians, and Noah finds sec 2 on a calculator to the nearest thousandth. What is sec 2?

   -2.403
6. 6.

   Pia finds sec 290° on a calculator, to the nearest thousandth, for a unit circle worksheet. What is sec 290°?

   2.924
7. 7.

   Ren's robot turns 3 radians, and Ren finds csc 3 on a calculator to the nearest thousandth. What is csc 3?

   7.086
8. 8.

   Zee's math book asks for the exact value of sec(3π/4). What is sec(3π/4)?

   • √2
   • -√2
   • 2
   • -√2/2
9. 9.

   Esme works out cot(5π/6) on a unit circle worksheet. What is cot(5π/6)?

   • -√3
   • -√3/3
   • √3
   • 2
10. 10.

    Jun's robot turns -π/3 radians, clockwise, on a unit circle floor grid. What is csc(-π/3)?

    • 2
    • -√3/2
    • 2√3/3
    • -2√3/3