Math Precalculus Trigonometry 12th Grade Assignment

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Math Precalculus Trigonometry 12th grade.

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Course Name: Precalculus: Trigonometry Student: Mustafa Ikhsan Course ID: MTHH044059 ID: G32706438 Submittal: 51 Progress Test 1 Progress Test 1 (Evaluation 51) covers the course materials that were assigned in Units 1 and 2. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. You may not have access to notes or any of the course materials while you are taking the test. You may also use your graphing calculator on this test. The Summary of Formulas and Trigonometric Tables from the Appendix is included for your use during the test. ____ 1. Given and is in Quadrant II. Sketch an angle in standard position that satisfies the given conditions. a. b. c. d. ____ 2. Find the value of tan 43° 17' to four places. a. b. c. d. 0.9397 1.062 0.9418 1.064 ____ 3. A cable on a bridge is connected from the top peak of the bridge to an entrance point. The entrance point is 45 meters south and 21 meters east of the peak. Find the length of the cable. a. b. c. d. c ____ 4. Use reference angles to find the value of the function: cos 205° a. b. c. d. ____ 5. –0.4226 0.4226 –0.9063 0.9063 The angle of depression from a cliff on the seashore to the base of a lighthouse is 18°. The distance from the lighthouse to a point at the base of the cliff directly below the point where the angle was measured is 750 feet. How high is the cliff? a. b. c. d. c ____ 6. 50 meters 100 meters 45 meters 66 meters Find 230 feet 244 feet 710 feet 790 feet to the nearest minute if cot a. b. c. d. ____ 7. a. b. c. d. ____ 8. a. b. c. d. undefined 1 –1 0 = 2.204 ____ 9. a. b. c. d. 1 −1 0 undefined ____ 10. a. b. c. d. b ____ 11. Draw a 292° angle in standard position. a. b. c. d. d ____ 12. Find the distance between points (–2, 3) and (7, 5). a. b. c. d. ____ 13. Given and is in Quadrant IV, find a. b. c. d. ____ 14. a. b. c. d. undefined 0 1 −1 ____ 15. Given and is in Quadrant III, find a. b. c. d. d ____ 16. Round off 28.99 to three significant digits. a. b. c. d. 28.9 30.0 28.0 29.0 b ____ 17. Given a right triangle where side a = 6 and angle B = 38°, what does side b = ?. Give the result properly rounded off. a. b. c. d. 3.7 4.7 9.4 28.2 ____ 18. Perform the indicated operations and give the result with the proper number of significant figures: 12.5 ÷ 42 a. b. c. d. .29 .298 .30 .297 ____ 19. Perform the indicated operation and give the result with the proper number of significant figures. 4.6 – 2.74 a. b. c. d. 2.0 1.8 1.9 1.86 a ____ 20. Given a right triangle where side a = 12 and side b = 16, what does angle B = ? Give the result properly rounded off. a. b. c. d. 53° 37° 49° 41° b ____ 21. Sketch 330° in standard position. a. b. c. d. ____ 22. a. b. c. d. 0 undefined 1 –1 d ____ 23. Find the value of sin 320° to four places. a. b. c. d. –0.7660 0.7660 0.6428 −0.6428 ____ 24. Given a. b. c. d. and is in Quadrant II, find a ____ 25. Given a right triangle where side a = 6 and angle B = 38°, what does angle A = ?. Give the result properly rounded off. a. b. c. d. 52° 142° 38° 42° c ____ 26. Find the distance between points (4, –2) and (8, 0). a. b. c. d. 10 a ____ 27. Without using your calculator, evaluate the expression: 2 sin² 30° + cos 60°. a. b. 1 c. d. 2 b ____ 28. Find the function value to four places: sec 75° 20' a. b. c. d. 0.9674 0.2532 1.034 3.950 b ____ 29. Express radians in degrees. a. b. c. d. 120° 150° 300° 240° a. b. c. d. 0 1 −1 undefined ____ 30. ____ 31. a. b. c. d. b ____ 32. Sketch a. b. c. d. ____ 33. a. b. c. d. 180° 0° 270° 90° in standard position. ____ 34. Find the smallest positive angle coterminal with . Use radian measure. a. b. c. d. ____ 35. Given minutes? a. b. c. d. . The minute hand of a clock is 10 inches long. How far does the tip of the hand move in 15 15.7 inches 31.4 inches 6.4 inches 3.2 inches ____ 36. Find the smallest negative angle coterminal with . Use radian measure. a. b. c. d. c ____ 37. Evaluate the expression sin 210° without using your calculator. a. b. c. d. ____ 38. a. b. c. d. ____ 39. a. b. c. d. c ____ 40. Use reference angles to find the value of the function: sin 123° a. b. c. d. –0.5446 0.5446 0.8387 –0.8387 ____ 41. Find the smallest positive angle coterminal with 400°. Use degree measure. a. b. c. d. 760° 220° 580° 40° d ____ 42. The reference angle of 212 ° is a. b. c. d. 58 ° 12 ° 138 ° 32 ° ____ 43. A boat travels N 31° E for 65 miles and then N 59° W for 102 miles. What is the bearing of the boat from its starting point? a. b. c. d. N 57° W N 33° W N 37° W N 26° W d ____ 44. How far is the point (–3, 6) from the origin? a. b. c. 3 9 d. ____ 45. Given s = rθ. The minute hand of a clock is 10 inches long. How far does the tip of the hand move in 15 minutes? What is the correct second step? a. b. c. d. ____ 46. Given and is in Quadrant II, find a. b. c. d. b ____ 47. Express -15° in terms of π radians. a. b. c. d. ____ 48. Find the smallest negative angle coterminal with 400°. Use degree measure. a. b. c. d. –500° –680° –140° –320° a ____ 49. Round off 18436 to two significant digits. a. b. c. d. 18000 18400 20000 18440 ____ 50. Given and is in Quadrant IV, find a. b. c. d. Carefully review your answers on this progress test and make any corrections you feel are necessary. When you are satisfied that you have answered the questions to the best of your ability, transfer your answers to the online test submission page in the presence of your proctor. The University of Nebraska is an equal opportunity educator and employer. ©2019, The Board of Regents of the University of Nebraska. All rights reserved. Precalculus 2: Trigonometry Summary of Formulas Functions of the sum and difference of two angles: cos (A – B) = cos A cos B + sin A sin B cos (A + B) = cos A cos B – sin A sin B sin (A + B) = sin A cos B + cos A sin B sin (A – B) = sin A cos B – cos A sin B tan A + tan B tan (A + B) = 1 – tan A tan B tan A – tan B tan (A – B) = 1 + tan A tan B Functions of twice an angle (double-angle formulas): cos 2A = cos2 A – sin2 A = 1 – 2 sin2 A = 2 cos2 A – 1 sin 2A = 2 sin A cos A tan 2A = 2 tan A 1 – tan2 A Functions of half an angle (half-angle formulas): Tables MTHH 044 Product formulas: 2 sin A cos B = sin (A + B) + sin (A – B) 2 cos A sin B = sin (A + B) – sin (A – B) 2 cos A cos B = cos (A + B) + cos (A – B) 2 sin A sin B = cos (A – B) – cos (A + B) Sum formulas: Tables Included in this section are three sets of tables. The first is the Table of Trigonometric Functions for angles written in degrees. The second is the Table of Trigonometric Functions for angles written in radians. The third table is a table of Logarithmic Functions. Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Tables MTHH 044 Table 3 - Logarithms of Numbers Tables MTHH 044 Tables MTHH 044
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