For Each Angle, Find All Coterminal Angles Such That -360 Q 360

Acc. Alg. II – W.S. 13.3 day 2 Page 4

For each angle, find all coterminal angles such that -360° < q < 360°. Then find the corresponding reference angle, q’.

1. 162° 2. 230° 3. 550 ° 4. -740°

5. Find sin q if q lies in Quadrant II and tan q = .

6. Find the exact value of cos q if the point (-4, 2) lies on the terminal side of q in standard position.

Find the number of rotations or the fraction of a rotation represented by each angle. Keep answers exact. A calculator is not needed. Then indicated the direction – clockwise (CW) or counterclockwise (CCW).

7. 630° 8. 1020° 9. -525°

True or False? Show work to justify your answer. If the statement is false rewrite a correct statement. Do not use a calculator. Use reference angle and quadrant position.

10. T F tan 95° = - tan 275°

11. T F -sin(227°) = sin (-133°)

12. T F cos (-210°) = cos (150°)

13. T F sec (-100°) = sec 100°

14. Describe, in complete sentences, how to find the exact value of sin 420° without using a calculator.

15. Find the exact coordinates of a point, P, that is located at the intersection of a circle with a radius

of 9 units and terminal side of a 315° angle in standard position.

16. Point P is located at the intersection of a circle with a radius of r units and the terminal side of angle q in standard position. Find the coordinate of P to the nearest 100th if q = -205° and r = 4.

17. Point P is located at the intersection of the unit circle and the terminal side of angle q in standard position. Find the coordinates of P to the nearest 100th if q = 250°.

Find each trigonometric function value. Do NOT use a calculator. Give exact answers. Remember to determine what quadrant the angle is in.

18. sin 135° = 19. cos 210° = 20. tan 330° =

21. sin 90° = 22. cos 180° = 23. sin 495° =

24. cos 810° = 25. sin (-405°) = 26. cot (-765°) =

27. csc (-660°) = 28. cot 150° = 29. tan (-450°) =

30. sec (-990°) = 31. sin 300° = 32. cos 180° =

33. sec 405° = 34. csc 1140° = 35. cos (-270°) =

36. cos (-600°) = 37. sec 480° = 38. sin 585° =

Find the exact value of each expression. Do not use a calculator.

Some Answers. Remember I do not guarantee my answers. ASK QUESTIONS!

1. -198°; 18° 3. 190°, -170°; 10° 5.

7. ; CCW 9. ; CW 11. F …

13. T 15. 17. (-0.34, -0.94)

19. 21. 1 23.

25. - 27. 29. undefined

31. 33. 35. 0

37. -2 39. 41.