Trigonometric identities
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.TF.C.8
Name
Date
Score/ 16
Question 1
True for all angles θ? sin²θ + cos²θ = 1
- A. True
- B. False
Question 2
θ is acute and cos θ = 4/5. Find sin θ.
Answer(as a fraction)
Question 3
True for all angles θ? cos(−θ) = −cos θ
- A. True
- B. False
Question 4
θ is acute and cos θ = 12/13. Find sin θ.
Answer(as a fraction)
Question 5
True for all angles θ? sin(90° − θ) = cos θ
- A. True
- B. False
Question 6
θ is acute and sin θ = 8/17. Find cos θ.
Answer(as a fraction)
Question 7
True for all angles θ? sin(−θ) = −sin θ
- A. True
- B. False
Question 8
θ is acute and sin θ = 3/5. Find cos θ.
Answer(as a fraction)
Question 9
True for all angles θ? sin²θ + cos²θ = 1
- A. True
- B. False
Question 10
θ is acute and sin θ = 5/13. Find cos θ.
Answer(as a fraction)
Question 11
True for all angles θ? sin²θ + cos²θ = 1
- A. True
- B. False
Question 12
θ is acute and cos θ = 15/17. Find sin θ.
Answer(as a fraction)
Question 13
True for all angles θ? sin(2θ) = 2 sin θ
- A. True
- B. False
Question 14
θ is acute and sin θ = 7/25. Find cos θ.
Answer(as a fraction)
Question 15
True for all angles θ? sin(−θ) = −sin θ
- A. True
- B. False
Question 16
θ is acute and sin θ = 5/13. Find cos θ.
Answer(as a fraction)
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