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Common Core HSF.TF.A.2 worksheet

High school Β· 16 questions Β· Common Core: HSF.TF.A.1, HSF.TF.A.2, HSF.TF.A.3 Β· England: A-level Pure Mathematics

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  1. Question 1

    Convert 90Β° to radians (in terms of Ο€).

    • A. Ο€
    • B. 3Ο€/2
    • C. 3Ο€/4
    • D. Ο€/2
  2. Question 2

    Find the exact value of sin 225Β°.

    • A. βˆ’1/2
    • B. √3/2
    • C. βˆ’βˆš2/2
    • D. 1/2
  3. Question 3

    Is sin 330Β° positive, zero or negative?

    • A. Positive
    • B. Zero
    • C. Negative
  4. Question 4

    What are the coordinates of the point on the unit circle at an angle of 150Β°?

    • A. (βˆ’βˆš3/2, βˆ’1/2)
    • B. (βˆ’βˆš3/2, 1/2)
    • C. (1/2, βˆ’βˆš3/2)
    • D. (√3/2, 1/2)
  5. Question 5

    Find the exact value of sin(5Ο€/6).

    • A. βˆ’βˆš2/2
    • B. 1/2
    • C. βˆ’1/2
    • D. √3/2
  6. Question 6

    ΞΈ is in the second quadrant. Is sin ΞΈ positive or negative?

    • A. Positive
    • B. Negative
  7. Question 7

    What is the reference angle for 144Β°?

    Answer

  8. Question 8

    Without a calculator, is cos 263Β° positive or negative?

    • A. Positive
    • B. Negative
  9. Question 9

    Convert Ο€/6 radians to degrees.

    Answer

  10. Question 10

    Find the exact value of cos 330Β°.

    • A. √2/2
    • B. √3/2
    • C. 1/2
    • D. βˆ’βˆš2/2
  11. Question 11

    Is cos 210Β° positive, zero or negative?

    • A. Positive
    • B. Zero
    • C. Negative
  12. Question 12

    What are the coordinates of the point on the unit circle at an angle of 60Β°?

    • A. (√3/2, 1/2)
    • B. (1/2, √3/2)
    • C. (1/2, βˆ’βˆš3/2)
    • D. (βˆ’1/2, √3/2)
  13. Question 13

    Find the exact value of sin(3Ο€/4).

    • A. 1/2
    • B. βˆ’1/2
    • C. √2/2
    • D. √3/2
  14. Question 14

    ΞΈ is in the fourth quadrant. Is cos ΞΈ positive or negative?

    • A. Positive
    • B. Negative
  15. Question 15

    What is the reference angle for 335Β°?

    Answer

  16. Question 16

    Without a calculator, is tan 8Β° positive or negative?

    • A. Positive
    • B. Negative

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Answer key: Common Core HSF.TF.A.2 worksheet

  1. 1. D. Ο€/2

  2. 2. C. βˆ’βˆš2/2

  3. 3. C. Negative

  4. 4. B. (βˆ’βˆš3/2, 1/2)

  5. 5. B. 1/2

  6. 6. A. Positive

  7. 7. 36

  8. 8. B. Negative

  9. 9. 30

  10. 10. B. √3/2

  11. 11. C. Negative

  12. 12. B. (1/2, √3/2)

  13. 13. C. √2/2

  14. 14. A. Positive

  15. 15. 25

  16. 16. A. Positive

HSF.TF.A.2 Worksheet: The unit circle and radians | Eurekami