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Common Core HSF.TF.A.3 worksheet

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

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1
Question 1
Find the exact value of sin(π/6).
- A. 1/2
- B. √2/2
- C. −√3/2
- D. −√2/2
2
Question 2
What are the coordinates of the point on the unit circle at an angle of 210°?
- A. (√3/2, −1/2)
- B. (−√3/2, 1/2)
- C. (−√3/2, −1/2)
- D. (−1/2, −√3/2)
3
Question 3
What is the exact value of tan 30°?
- A. 0
- B. √3/2
- C. √3
- D. √3/3
4
Question 4
Find the exact value of cos(4π/3).
- A. −1/2
- B. √3/2
- C. −√2/2
- D. 1/2
5
Question 5
What are the coordinates of the point on the unit circle at an angle of 120°?
- A. (−1/2, √3/2)
- B. (1/2, √3/2)
- C. (−1/2, −√3/2)
- D. (√3/2, −1/2)
6
Question 6
What is the exact value of sin 90°?
- A. √2/2
- B. 1
- C. √3
- D. √3/2
7
Question 7
Find the exact value of sin(π/4).
- A. 1/2
- B. √3/2
- C. −√3/2
- D. √2/2
8
Question 8
What are the coordinates of the point on the unit circle at an angle of 180°?
- A. (−1, 0)
- B. (0, −1)
- C. (1, 0)
9
Question 9
What is the exact value of sin 45°?
- A. 1/2
- B. √2/2
- C. √3/2
- D. 1
10
Question 10
Find the exact value of sin(11π/6).
- A. √2/2
- B. −√3/2
- C. −1/2
- D. √3/2
11
Question 11
What are the coordinates of the point on the unit circle at an angle of 330°?
- A. (√3/2, 1/2)
- B. (−√3/2, −1/2)
- C. (−1/2, √3/2)
- D. (√3/2, −1/2)
12
Question 12
What is the exact value of tan 30°?
- A. √2/2
- B. 0
- C. √3/3
- D. 1
13
Question 13
Find the exact value of sin(π/3).
- A. √2/2
- B. √3/2
- C. 1/2
- D. −√2/2
14
Question 14
What are the coordinates of the point on the unit circle at an angle of 210°?
- A. (−√3/2, −1/2)
- B. (−1/2, −√3/2)
- C. (−√3/2, 1/2)
- D. (√3/2, −1/2)
15
Question 15
What is the exact value of cos 90°?
- A. 1/2
- B. √3/2
- C. √3
- D. 0
16
Question 16
Find the exact value of sin(5π/4).
- A. −√2/2
- B. 1/2
- C. −√3/2
- D. √2/2

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Answer key: Common Core HSF.TF.A.3 worksheet

1. A. 1/2
2. C. (−√3/2, −1/2)
3. D. √3/3
4. A. −1/2
5. A. (−1/2, √3/2)
6. B. 1
7. D. √2/2
8. A. (−1, 0)
9. B. √2/2
10. C. −1/2
11. D. (√3/2, −1/2)
12. C. √3/3
13. B. √3/2
14. A. (−√3/2, −1/2)
15. D. 0
16. A. −√2/2