Prof. Israel Nwaguru PLANE TRIGONOMETRY - MATH 1316, CHAPTER REVIEW
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1 Prof. Israel Nwaguru PLANE TRIGONOMETRY - MATH 1316, CHAPTER REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the quadrant in which a 171 angle lies. a. 3rd quadrant b. 4th quadrant c. 1st quadrant d. 2nd quadrant 2. Determine the quadrant in which a angle lies. a. 4th quadrant b. 2nd quadrant c. 1st quadrant d. 3rd quadrant 3. Determine two coterminal angles (one positive and one negative) for. 4. Convert to degree-decimal form. Round answer to three decimal places. 5. Convert to form. 6. Find (if possible) the complement of. a. not possible b. 34 c. 94 d. 56 e Find (if possible) the supplement of 118. a. b. c. d. not possible e. 8. Determine the quadrant in which an angle,, lies if. a. 1st quadrant b. 4th quadrant c. 3rd quadrant d. 2nd quadrant 9. Determine the quadrant in which an angle,, lies if radians. a. 2nd quadrant b. 1st quadrant c. 3rd quadrant d. 4th quadrant 10. Determine two coterminal angles (one positive and one negative) for. 11. Find (if possible) the supplement of. a. b. c. d. not possible e. 12. Find (if possible) the complement of.
2 a. not possible b. c. d. e. 13. Rewrite in radian measure as a multiple of. 14. Rewrite in degree measure. 15. Rewrite in radian measure. Round to three decimal places. 16. Rewrite in degree measure. Round to three decimal places. 17. Find the angle, in radians, in the figure below if and. 18. Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters. 19. Find the length of the arc, S, on a circle of radius 3 meters intercepted by a central angle of. Round to two decimal places. a. meters b. meters c. meters d. meters e. meters 20. Find the area of the sector of the circle with radius 2 meters and central angle.
3 21. Find the exact value of, using the triangle shown in the figure below, if. 22. If is an acute angle and, determine. 23. Given and, determine the following: a. undefined b. c. d. e. 24. Use a calculator to evaluate. Round your answer to four decimal places. a b c d e Use a calculator to evaluate. Round your answer to four decimal places. a b c d e If, find the value of in degrees without the aid of a calculator. 27. Using the figure below, if, determine the exact value of x.
4 28. Using the figure below, if, determine the exact value of r. 29. Given the figure below, determine the value of.
5 a. = b. = c. = d. = e. = 30. The point is on the terminal side of an angle in standard position. Determine the exact value of. 31. The point is on the terminal side of an angle in standard position. Determine the exact value of. 32. State the quadrant in which lies if and. a. Quadrant II b. Quadrant III c. Quadrant I d. Quadrant IV 33. Determine the exact value of when and. 34. Determine the exact value of when and. 35. Determine the exact value of the of the quadrant angle. a. b. c. 0 d. e. 1
6 36. Determine the exact value of the of the quadrant angle. a. b. c. 1 d. e Determine the exact value of. a. b. c. 1 d. 1 e. 38. Use a calculator to evaluate. Round your answer to four decimal places. a b c d e Find the point on the unit circle that corresponds to the real number. Use your results to evaluate. 40. Find the point on the unit circle that corresponds to the real number. Use your results to evaluate.
7 PLANE TRIGONOMETRY - MATH 1316 Answer Section CHAPTER , REVIEW MULTIPLE CHOICE 1. ANS: D PTS: 1 OBJ: Determine in which quadrant an angle lies 2. ANS: D PTS: 1 OBJ: Determine in which quadrant an angle lies 3. ANS: B PTS: 1 OBJ: Determine two coterminal angles (degrees) 4. ANS: A PTS: 1 OBJ: Convert degrees, minutes and seconds to decimal degree 5. ANS: E PTS: 1 OBJ: Convert decimal degree to DMS form 6. ANS: A PTS: 1 OBJ: Find the complement of an angle (degrees) 7. ANS: B PTS: 1 OBJ: Find the supplement of an angle (degrees) 8. ANS: C PTS: 1 OBJ: Determine in which quadrant an angle lies 9. ANS: D PTS: 1 OBJ: Determine in which quadrant an angle lies 10. ANS: A PTS: 1 OBJ: Determine two coterminal angles (radians) 11. ANS: E PTS: 1 OBJ: Find the complement of an angle (radians) 12. ANS: C PTS: 1 OBJ: Find the complement of an angle (radians) 13. ANS: C PTS: 1 OBJ: Convert degree measure to radian measure 14. ANS: C PTS: 1 OBJ: Convert radian measure to degree measure 15. ANS: C PTS: 1 OBJ: Convert degree measure to radian measure 16. ANS: C PTS: 1 OBJ: Convert radian measure to degree measure 17. ANS: C PTS: 1 OBJ: Find measure of central angle given radius and arc length 18. ANS: A PTS: 1 OBJ: Find measure of central angle given radius and arc length 19. ANS: D PTS: 1 OBJ: Find length of arc given radius and central angle 20. ANS: C PTS: 1 OBJ: Find the area of a sector given the radius and central angle 21. ANS: A PTS: 1 OBJ: Determine trig value from diagram 22. ANS: E PTS: 1 OBJ: Determine value of a trig function 23. ANS: E PTS: 1 OBJ: Determine trig value given sin and cos 24. ANS: B PTS: 1 OBJ: Evaluate trig values using calculator 25. ANS: C PTS: 1 OBJ: Calculate a trigonometric value using a calculator 26. ANS: B PTS: 1 OBJ: Determine theta without the use of calculator 27. ANS: A PTS: 1 OBJ: Determine value of variable using right-triangle trig 28. ANS: A PTS: 1 OBJ: Determine value of variable using right-triangle trig 29. ANS: C PTS: 1 OBJ: Determine trig value from diagram 30. ANS: D PTS: 1 OBJ: Determine value of trig function given point on terminal side 31. ANS: C PTS: 1 OBJ: Determine value of trig function given point on terminal side 32. ANS: C PTS: 1 OBJ: Determine quadrant given constraints 33. ANS: D PTS: 1 OBJ: Determine exact value of trig function given constraints 34. ANS: D PTS: 1 OBJ: Determine exact value of trig function given constraints 35. ANS: C PTS: 1 OBJ: Determine exact value of quadrant angle 36. ANS: C PTS: 1 OBJ: Determine exact value of quadrant angle 37. ANS: E PTS: 1 OBJ: Determine exact trig value of angle 38. ANS: C PTS: 1 OBJ: Evaluate trig values using calculator 39. ANS: D PTS: 1 OBJ: Evaluate trig function using unit circle
8 40. ANS: E PTS: 1 OBJ: Evaluate trig function using unit circle
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