Trig identities: Pythagorean, symmetry and periodicity, and sum and difference

Grade 11 Math Worksheet - Building Confidence

NameDate

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

  1. On Noah's unit circle worksheet, θ is in Quadrant II and sin θ = 3/5. What is cos θ?

  2. Pia's robot ends a turn θ in Quadrant IV with cos θ = 5/13. What is sin θ?

  3. On Ren's unit circle worksheet, θ is in Quadrant III and sin θ = -8/17. What is cos θ?

  4. Esme's robot ends a turn θ at (-3/5, 4/5) on a unit circle floor grid. Where does a turn of -θ end?

  5. On Jun's unit circle worksheet, the turn θ ends at (-7/25, -24/25). Where does the turn -θ end?

  6. Kira's robot ends a turn θ at (8/17, -15/17) on a unit circle floor grid. Where does a turn of -θ end?

  7. Luz's robot ends a turn θ at (12/13, 5/13) on a unit circle floor grid. Where does a turn of 90° − θ end?

  8. On Milo's unit circle worksheet, the turn θ ends at (3/5, 4/5). Where does the turn 90° − θ end?

  9. Noah's robot ends a turn θ at (-15/17, 8/17) on a unit circle floor grid. Where does a turn of 90° − θ end?

  10. On Pia's unit circle worksheet, the turn θ ends at (24/25, -7/25). Where does the turn 90° − θ end?

PencilGopencilgo.com

Trig identities: Pythagorean, symmetry and periodicity, and sum and difference

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

  1. On Noah's unit circle worksheet, θ is in Quadrant II and sin θ = 3/5. What is cos θ?

    -4/5
  2. Pia's robot ends a turn θ in Quadrant IV with cos θ = 5/13. What is sin θ?

    -12/13
  3. On Ren's unit circle worksheet, θ is in Quadrant III and sin θ = -8/17. What is cos θ?

    -15/17
  4. Esme's robot ends a turn θ at (-3/5, 4/5) on a unit circle floor grid. Where does a turn of -θ end?

    (-3/5, -4/5)
  5. On Jun's unit circle worksheet, the turn θ ends at (-7/25, -24/25). Where does the turn -θ end?

    (-7/25, 24/25)
  6. Kira's robot ends a turn θ at (8/17, -15/17) on a unit circle floor grid. Where does a turn of -θ end?

    (8/17, 15/17)
  7. Luz's robot ends a turn θ at (12/13, 5/13) on a unit circle floor grid. Where does a turn of 90° − θ end?

    (5/13, 12/13)
  8. On Milo's unit circle worksheet, the turn θ ends at (3/5, 4/5). Where does the turn 90° − θ end?

    (4/5, 3/5)
  9. Noah's robot ends a turn θ at (-15/17, 8/17) on a unit circle floor grid. Where does a turn of 90° − θ end?

    (8/17, -15/17)
  10. On Pia's unit circle worksheet, the turn θ ends at (24/25, -7/25). Where does the turn 90° − θ end?

    (-7/25, 24/25)