1. Unit 7B Review

2. 1. Solve for all values of 𝜃 such that 0≤𝜃<2𝜋
1. Solve for all values of 𝜃 such that 0≤𝜃<2𝜋. Give answers in radians.
sin 2 𝜃 = 3 4

3. 1. Solve for all values of 𝜃 such that 0≤𝜃<2𝜋
1. Solve for all values of 𝜃 such that 0≤𝜃<2𝜋. Give answers in radians.
sin 2 𝜃 = 3 4

4. 2. Solve for al values of 𝜃 such that 0≤𝜃<2𝜋
2. Solve for al values of 𝜃 such that 0≤𝜃<2𝜋. Give answers in radians.
sin 𝜃(2 cos 𝜃 −1) =0

5. 2. Solve for al values of 𝜃 such that 0≤𝜃<2𝜋
2. Solve for al values of 𝜃 such that 0≤𝜃<2𝜋. Give answers in radians.
sin 𝜃(2 cos 𝜃 −1) =0

6. 3. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜
3. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜 . Give answers in degrees.
3 tan 𝜃 + 3 =0

7. 3. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜
3. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜 . Give answers in degrees.
3 tan 𝜃 + 3 =0

8. 4. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜
4. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜 . Give answers in degrees.
2 cos 𝜃+1 tan 𝜃 +1 =0

9. 4. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜
4. Solve for all values of 𝜃 such that 0 𝑜 ≤𝜃< 360 𝑜 . Give answers in degrees.
2 cos 𝜃+1 tan 𝜃 +1 =0

10. 5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C
5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C. tan 30 𝑜 D. sec 225 𝑜

11. 5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C
5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C. tan 30 𝑜 D. sec 225 𝑜

12. 5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C
5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C. tan 30 𝑜 D. sec 225 𝑜

13. 5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C
5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C. tan 30 𝑜 D. sec 225 𝑜

14. 5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C
5. Evaluate each trig function. Show work. A. sin 180 𝑜 B. cos 300 𝑜 C. tan 30 𝑜 D. sec 225 𝑜

15. 6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C
6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C. csc 7𝜋 6 D. cos − 5𝜋 4

16. 6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C
6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C. csc 7𝜋 6 D. cos − 5𝜋 4

17. 6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C
6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C. csc 7𝜋 6 D. cos − 5𝜋 4

18. 6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C
6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C. csc 7𝜋 6 D. cos − 5𝜋 4

19. 6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C
6. Evaluate each trig function. Show work. A. cot 3𝜋 2 B. sin 4𝜋 3 C. csc 7𝜋 6 D. cos − 5𝜋 4

20. 7. Convert 120 𝑜 to radians.

21. 7. Convert 120 𝑜 to radians.

22. 8. Convert − 17𝜋 6 to degrees.

23. 8. Convert − 17𝜋 6 to degrees.

24. 9. Give the point of the unit circle that corresponds to give angle 𝜃.
A. 𝜃=225 𝑜 B. 𝜃=− 2𝜋 3

25. 9. Give the point of the unit circle that corresponds to give angle 𝜃.
A. 𝜃=225 𝑜 B. 𝜃=− 2𝜋 3

26. 9. Give the point of the unit circle that corresponds to give angle 𝜃.
A. 𝜃=225 𝑜 B. 𝜃=− 2𝜋 3

27. 10. Which quadrant (or quadrants) could contain the terminal side of the given angle in standard position given the value of the trig functions?
cos 𝜃 <0
B. tan 𝜃 <0 and sec 𝜃 <0
C. sin 𝜃 >0 and cos 𝜃 <0

28. 10. Which quadrant (or quadrants) could contain the terminal side of the given angle in standard position given the value of the trig functions?
cos 𝜃 <0
B. tan 𝜃 <0 and sec 𝜃 <0
C. sin 𝜃 >0 and cos 𝜃 <0

29. 10. Which quadrant (or quadrants) could contain the terminal side of the given angle in standard position given the value of the trig functions?
cos 𝜃 <0
B. tan 𝜃 <0 and sec 𝜃 <0
C. sin 𝜃 >0 and cos 𝜃 <0

30. 10. Which quadrant (or quadrants) could contain the terminal side of the given angle in standard position given the value of the trig functions?
cos 𝜃 <0
B. tan 𝜃 <0 and sec 𝜃 <0
C. sin 𝜃 >0 and cos 𝜃 <0

31. 11. Find the exact value of all six trig functions of 𝜃 if cot 𝜃 = 13 5 and 𝜋<𝜃< 3𝜋 2

32. 11. Find the exact value of all six trig functions of 𝜃 if cot 𝜃 = 13 5 and 𝜋<𝜃< 3𝜋 2

33. 12. Give a positive and negative co-terminal angle for the given:
A 𝑜 B. 2𝜋 11

34. 12. Give a positive and negative co-terminal angle for the given:
A 𝑜 B. 2𝜋 11

35. 12. Give a positive and negative co-terminal angle for the given:
A 𝑜 B. 2𝜋 11

36. 13. Sketch the angle in standard position
13. Sketch the angle in standard position. Then show the reference angle 𝜃′ and give its measure.
A. − 632 𝑜 B. 11𝜋 7

37. 13. Sketch the angle in standard position
13. Sketch the angle in standard position. Then show the reference angle 𝜃′ and give its measure.
A. − 632 𝑜 B. 11𝜋 7

38. 13. Sketch the angle in standard position
13. Sketch the angle in standard position. Then show the reference angle 𝜃′ and give its measure.
A. − 632 𝑜 B. 11𝜋 7