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Decide the sign of sin, cos and tan in each quadrant

11th grade (Year 12 in England) · 16 questions · Common Core: HSF.TF.A.2 · England: A-level Pure Mathematics

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  1. Question 1

    Without a calculator, is cos 292° positive or negative?

    • A. Positive
    • B. Negative
  2. Question 2

    θ is in the third quadrant. Is tan θ positive or negative?

    • A. Positive
    • B. Negative
  3. Question 3

    Without a calculator, is sin 216° positive or negative?

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

    θ is in the third quadrant. Is cos θ positive or negative?

    • A. Positive
    • B. Negative
  5. Question 5

    Without a calculator, is sin 98° positive or negative?

    • A. Positive
    • B. Negative
  6. Question 6

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

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

    Without a calculator, is cos 162° positive or negative?

    • A. Positive
    • B. Negative
  8. Question 8

    θ is in the second quadrant. Is cos θ positive or negative?

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

    Without a calculator, is sin 214° positive or negative?

    • A. Positive
    • B. Negative
  10. Question 10

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

    • A. Positive
    • B. Negative
  11. Question 11

    Without a calculator, is tan 287° positive or negative?

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

    θ is in the second quadrant. Is tan θ positive or negative?

    • A. Positive
    • B. Negative
  13. Question 13

    Without a calculator, is sin 127° positive or negative?

    • A. Positive
    • B. Negative
  14. Question 14

    θ is in the first quadrant. Is cos θ positive or negative?

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

    Without a calculator, is tan 69° positive or negative?

    • A. Positive
    • B. Negative
  16. Question 16

    θ is in the third quadrant. Is tan θ positive or negative?

    • A. Positive
    • B. Negative

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Answer key: Decide the sign of sin, cos and tan in each quadrant

  1. 1. A. Positive

  2. 2. A. Positive

  3. 3. B. Negative

  4. 4. B. Negative

  5. 5. A. Positive

  6. 6. A. Positive

  7. 7. B. Negative

  8. 8. B. Negative

  9. 9. B. Negative

  10. 10. A. Positive

  11. 11. B. Negative

  12. 12. B. Negative

  13. 13. A. Positive

  14. 14. A. Positive

  15. 15. A. Positive

  16. 16. A. Positive