precalculus prog 1

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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.

page1image1817504

____ 1.

____ 2.

____ 3.

____ 4.

____ 5.

  1. 0
  2. undefined
  3. 1
  4. –1

Given a right triangle where side a = 8.0 and angle A = 42°, what does side c = ? Give the result properly rounded off.

  1. 11
  2. 8.9
  3. 12
  4. 7.2
  1. 180°
  2. 270°
  3. 90°

Find the distance between points (–5, –6) and (1, 2). a.

b. 10 c.

d.

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. What is the bearing of the cable from the top of its peak?

  1. S38°E
  2. S13°E
  3. S25°E
  4. S65°E
page1image1817728page1image1820192page1image1796896page1image1819968

____ 6.

Find the distance between points (4, –2) and (8, 0). a.

b. c. d.

Perform the indicated operations and give the result with the proper number of significant figures: 4.3 x 12

  1. 52
  2. 51
  3. 51.6
  4. 50

Use reference angles to find the value of the function: csc 508°

  1. −1.8871
  2. 1.6003
  3. 1.8871
  4. 0.5299

The reference angle of 212 ° is

  1. 58°
  2. 12°
  3. 138 °
  4. 32°

Use reference angles to find the value of the function: cos 218 °

  1. 0.7880
  2. 0.6157
  3. −0.7880
  4. −0.6157

Given a right triangle where side a = 12 and side b = 16, what does angle A = ? Give the result properly rounded off.

  1. 49°
  2. 41°
  3. 37°
  4. 53°
  1. undefined
  2. 1
  3. –1
  4. 0
page2image1821312page2image1819744page2image1818176page2image1820640

____ 7.

____ 8.

____ 9.

____ 10.

____ 11.

____ 12.

page2image1821088

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Course Name: Precalculus: Trigonometry Student: Omar Hassan Course ID: MTHH044059 ID: E93324820 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. a. b. c. d. ____ 2. 0 undefined 1 –1 Given a right triangle where side a = 8.0 and angle A = 42°, what does side c = ? Give the result properly rounded off. a. b. c. d. 11 8.9 12 7.2 a. b. c. d. 180° 0° 270° 90° ____ 3. ____ 4. Find the distance between points (–5, –6) and (1, 2). a. b. c. 10 d. ____ 5. 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. What is the bearing of the cable from the top of its peak? a. b. c. d. S 38° E S 13° E S 25° E S 65° E ____ 6. Find the distance between points (4, –2) and (8, 0). a. b. c. d. ____ 7. Perform the indicated operations and give the result with the proper number of significant figures: 4.3 x 12 a. b. c. d. ____ 8. Use reference angles to find the value of the function: csc 508° a. b. c. d. ____ 9. 52 51 51.6 50 −1.8871 1.6003 1.8871 0.5299 The reference angle of 212 ° is a. b. c. d. 58 ° 12 ° 138 ° 32 ° ____ 10. Use reference angles to find the value of the function: cos 218 ° a. b. c. d. 0.7880 0.6157 −0.7880 −0.6157 ____ 11. Given a right triangle where side a = 12 and side b = 16, what does angle A = ? Give the result properly rounded off. a. b. c. d. 49° 41° 37° 53° a. b. c. d. undefined 1 –1 0 ____ 12. ____ 13. Given and is in Quadrant III find a. b. c. d. ____ 14. 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 ____ 15. Given and is in Quadrant III, find a. b. c. d. ____ 16. Find the smallest positive angle coterminal with 400°. Use degree measure. a. b. c. d. 760° 220° 580° 40° ____ 17. Round off 18436 to two significant digits. a. b. c. d. 18000 18400 20000 18440 ____ 18. 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° ____ 19. Find a. b. c. d. to the nearest minute if cos 45° 54' 44° 4' 44° 6' 45° 56' ____ 20. Given minutes? a. b. c. d. = 0.6955 . 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 ____ 21. Express 40° in terms of π radians. a. b. c. d. ____ 22. Find the smallest negative angle coterminal with a. b. c. d. ____ 23. a. b. c. d. 0 1 −1 undefined . Use radian measure. ____ 24. a. b. c. d. ____ 25. Without using your calculator, evaluate the expression: sec² 30° − cot² 60°. a. b. c. d. 3 1 ____ 26. How far is the point (5, 7) from the origin? a. b. c. d. 2 9 a. b. c. d. –1 undefined 1 0 ____ 27. ____ 28. Find the smallest negative angle coterminal with −250°. Use degree measure. a. b. c. d. ____ 29. Find the smallest positive angle coterminal with a. b. c. d. . Use radian measure. ____ 30. a. b. c. d. ____ 31. Evaluate the expression sin 210° without using your calculator. a. b. c. d. ____ 32. a. b. c. d. ____ 33. a. b. c. d. ____ 34. Find the function value to four places: csc 83° 40' a. b. c. d. 1.006 9.065 0.9939 0.1103 ____ 35. Express a. −100 b. −108 c. −235 d. −310 radians in degrees. ____ 36. Sketch −220° in standard position. a. b. c. d. ____ 37. Given and is in Quadrant IV. Sketch an angle in standard position that satisfies the given conditions. What is the correct graph? a. b. c. d. ____ 38. Given s = rθ. The minute hand of a clock is 10 inches long. How far does the tip of the hand move in 25 minutes? What is the correct second step? a. b. c. d. ____ 39. Given a. b. c. d. and is in Quadrant IV, find ____ 40. a. b. c. d. undefined 0 1 −1 ____ 41. A balloon is 300 feet above a cliff. The angle of depression to the cliff edge is 40° 30'. What is the horizontal distance from the balloon to the edge of the cliff? a. b. c. d. 462 feet 392 feet 351 feet 256 feet ____ 42. a. b. c. d. ____ 43. Find the value of cot 72° 43' to four places. a. b. c. d. 3.214 0.3099 0.3111 3.227 ____ 44. Find the value of sin 302° to four places. a. b. c. d. 0.8480 0.4559 -0.8480 -0.1115 ____ 45. Draw a 171°angle in standard position. a. b. c. d. ____ 46. Given a. b. c. d. and is in Quadrant III, find ____ 47. Sketch in standard position. a. b. c. d. ____ 48. A boat travels N 31° E for 65 miles and then N 59° W for 102 miles. Find the distance of the boat from its starting point. a. b. c. d. 37 miles 79 miles 121 miles 167 miles ____ 49. Given and is in Quadrant III, find a. b. c. d. ____ 50. Round off 28.99 to three significant digits. a. b. c. d. 28.9 30.0 28.0 29.0 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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Course Name: Precalculus: Trigonometry
Student: Omar Hassan

Course ID: MTHH044059
ID: E93324820

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.
a.
b.
c.
d.
____ 2.

0
undefined
1
–1

Given a right triangle where side a = 8.0 and angle A = 42°, what does side c = ? Give the result properly
rounded off. Here, information is missing in question, if angle C is 90 degress, then answer is c.12
a.
b.
c.
d.

11
8.9
12
7.2

a.
b.
c.
d.

180°

270°
90°

If angle B is 90 degress, then answer is b.8.9

____ 3.

____ 4.

Find the distance between points (–5, –6) and (1, 2).
a.
b.
c.

10

d.
____ 5.

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. What is the bearing of the cable from the top of its...


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