1. Unit Circle Jeopardy!
Hosted By: Miss Young

2. Converting Angles
Finding Angles
Coterminal/ Reference ∠’s
Exact Values (Trig Functs)
Finding Trig Ratios
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3. $100 Converting Angles Question: Convert from degrees to radians 320°
Answer: 16𝜋 9

4. $200 Converting Angles Question: Convert from degrees to radians 80°
Answer: 4𝜋 9

5. $300 Converting Angles Question: Convert from degrees to radians 675°
Answer: 15𝜋 4

6. $400 Converting Angles Question: Convert from radians to degrees 8𝜋 3
Answer: 480°

7. $500 Converting Angles
Question: Convert from radians to degrees 15𝜋 12
Answer: 225°

8. $100 Finding Angles cos 𝜃 = 2 2 𝜃= 𝜋 4 , 7𝜋 4
Question: Find the measure of θ in both radians and degrees given (without a calculator):
cos 𝜃 =
Answer: 𝜃=45°, 315°
𝜃= 𝜋 4 , 7𝜋 4

9. $200 Finding Angles cos 𝜃 = 1 2 𝜃=60° , 300° 𝜃= 𝜋 3 , 5𝜋 3
Question: Find the measure of θ in both radians and degrees given (without a calculator):
cos 𝜃 = 1 2
Answer:
𝜃=60° , 300°
𝜃= 𝜋 3 , 5𝜋 3

10. $300 Finding Angles tan 𝜃 =1 𝜃=45°, 225° 𝜃= 𝜋 4 , 5𝜋 4
Question: Find the measure of θ in both radians and degrees given (without a calculator):
tan 𝜃 =1
Answer:
𝜃=45°, 225°
𝜃= 𝜋 4 , 5𝜋 4

11. $400 Finding Angles csc 𝜃 = 2 3 3 𝜃=60° , 120° 𝜃= 𝜋 3 , 2𝜋 3
Question: Find the measure of θ in both radians and degrees given (without a calculator):
csc 𝜃 =
Answer:
𝜃=60° , 120°
𝜃= 𝜋 3 , 2𝜋 3

12. $500 Finding Angles cot 𝜃 = 3 3 𝜃=60° , 240° 𝜃= 𝜋 3 , 4𝜋 3
Question: Find the measure of θ in both radians and degrees given (without a calculator):
cot 𝜃 =
Answer:
𝜃=60° , 240°
𝜃= 𝜋 3 , 4𝜋 3

13. $100 Coterminal/ Reference ∠’s
Question: Determine two coterminal angles (one positive and one negative) for:
230°
Answer:
590° , −130°

14. $200 Coterminal/ Reference ∠’s
Question: Determine two coterminal angles (one positive and one negative) for:
5𝜋 6
Answer:
17𝜋 6 , − 7𝜋 6

15. $300 Coterminal/ Reference ∠’s
Question: Determine two coterminal angles (one positive and one negative) for:
− 11𝜋 6
Answer:
𝜋 6 , − 23𝜋 6

16. $400 Coterminal/ Reference ∠’s
Question: Find the reference angle of the given angle measurement: 7𝜋 4
Answer:
𝜋 4

17. $500 Coterminal/ Reference ∠’s
Question: Find the reference angle of the given angle measurement:
11𝜋 3
Answer:
𝜋 3

18. $100 Exact Values (Trig Functions)
Question: Find the exact value of cos 11𝜋 6
Answer:
3 2

19. $200 Exact Values (Trig Functions)
Question: Find the exact value of
sin 5𝜋 4
Answer: −

20. $300 Exact Values (Trig Functions)
Question: Find the exact value of
tan 585°
Answer: 1

21. $400 Exact Values (Trig Functions)
Question: Find the exact value of sec 720°
Answer:

22. $500 Exact Values (Trig Functions)
Question: Find the exact value of cot − 5𝜋 6
Answer: 3

23. $100 Finding Trig Ratios
Question: Find the six trig functions given the point (3, 4)
Answer:
sin 𝜃 = cos 𝜃 = tan 𝜃 = 4 3
csc 𝜃 = sec 𝜃 = cot 𝜃 = 3 4

24. $200 Finding Trig Ratios
Question: Find the six trig functions given the point (0, 6)
Answer:
sin 𝜃 = cos 𝜃 = tan 𝜃 =𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑
csc 𝜃 = sec 𝜃 =𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑 cot 𝜃 =0

25. $300 Finding Trig Ratios
Question: Find the six trig functions given the point (-5, 12)
Answer:
sin 𝜃 = cos 𝜃 =− tan 𝜃 =− 12 5
csc 𝜃 = sec 𝜃 =− cot 𝜃 =− 5 12

26. $400 Finding Trig Ratios
Question: Find the six trig functions given: sec 𝜃 = , 𝑄𝑢𝑎𝑑 𝐼𝑉
Answer:
sin 𝜃 =− cos 𝜃 = tan 𝜃 =− 8 15
csc 𝜃 =− sec 𝜃 = cot 𝜃 =− 15 8

27. $500 Finding Trig Ratios
Question: Find the six trig functions given: sin − , 𝑄𝑢𝑎𝑑 𝐼𝐼𝐼
Answer:
sin 𝜃 =− cos 𝜃 =− tan 𝜃 =
csc 𝜃 =− sec 𝜃 =− cot 𝜃 = 2