trigonometry

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1.

b. c. d.

Find the smallest negative angle coterminal with a.

. Use radian measure.

page1image62632336page1image62630048page1image62623600page1image62630880

____ 2.

____ 3.

b. c. d.

Find the smallest negative angle coterminal with –160°. Use degree measure.

  1. –700°
  2. –520°
  3. –880°
  4. –340°

Given a.

and page1image62622352is in Quadrant IV, find

page1image62629424page1image62501680page1image62491488page1image62490240page1image62504176page1image62501888

____ 4.

The reference angle of 171° is

  1. 71°
  2. 81°
  3. 19°

____ 5.

____ 6.

a. b. c. d.

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

  1. 4
  2. 11
  3. 20
  4. 28

Round off 18436 to two significant digits.

  1. 18000
  2. 18400
  3. 20000
  4. 18440

Unformatted Attachment Preview

Course Name: Precalculus: Trigonometry Student: Kwinda Netshitangani Course ID: MTHH044059 ID: J47865775 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. Find the smallest negative angle coterminal with . Use radian measure. a. b. c. d. ____ 2. Find the smallest negative angle coterminal with –160°. Use degree measure. a. b. c. d. ____ 3. –700° –520° –880° –340° Given and is in Quadrant IV, find a. b. c. d. ____ 4. The reference angle of 171° is a. b. c. d. 71° 81° 9° 19° ____ 5. 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 ____ 6. a. b. c. d. ____ 7. Given a right triangle where side a = 12 and side b = 16, what does side c = ? Give the result properly rounded off. a. b. c. d. ____ 8. Round off 18436 to two significant digits. a. b. c. d. ____ 9. 4 11 20 28 18000 18400 20000 18440 Use reference angles to find the value of the function: cos 218 ° a. b. c. d. 0.7880 0.6157 −0.7880 −0.6157 ____ 10. Find the value of tan 43° 17' to four places. a. b. c. d. 0.9397 1.062 0.9418 1.064 ____ 11. a. b. c. d. ____ 12. Find the distance between points (–5, –6) and (1, 2). a. b. c. 10 d. ____ 13. Perform the indicated operation and give the results with the proper number of significant figures. 5.1 + 3.94 a. b. c. d. 9.1 9.0 8.9 9.04 ____ 14. Given and is in Quadrant III. Sketch an angle in standard position that satisfies the given conditions. What is the correct graph? a. b. c. d. ____ 15. a. b. c. d. –1 0 1 undefined a. b. c. d. 1 −1 0 undefined ____ 16. ____ 17. Find the smallest positive angle coterminal with . Use radian measure. a. b. c. d. ____ 18. Find to the nearest minute if cot = 2.204 a. b. c. d. ____ 19. Find the function value to four places: csc 83° 40' a. b. c. d. 1.006 9.065 0.9939 0.1103 ____ 20. Without using your calculator, evaluate the expression: 2 sin² 30° + cos 60°. a. b. 1 c. d. 2 ____ 21. Round off 379.4 to two significant digits. a. b. c. d. 379 370 381 380 ____ 22. Express 210° in terms of π radians. a. b. c. d. ____ 23. a. b. c. d. undefined 1 0 –1 ____ 24. Draw a 212° angle in standard position. a. b. c. d. ____ 25. Use reference angles to find the value of the function: sec 602° a. b. c. d. 2.130 1.133 –1.133 –2.130 ____ 26. Given and is in Quadrant III, find a. b. c. d. ____ 27. Sketch in standard position. a. b. c. d. ____ 28. 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° ____ 29. A straight road is to be constructed joining two towns A and B. If B is located 44 miles to the west and 30 miles to the south of A. What is the bearing from A to B? a. b. c. d. S 43° W S 47° W S 34° W S 56° W ____ 30. Find the distance between points (–2, 3) and (7, 5). a. b. c. d. ____ 31. 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. 230 feet 244 feet 710 feet 790 feet ____ 32. Given and is in Quadrant III, find a. b. c. d. ____ 33. 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. ____ 34. Find the smallest positive angle coterminal with −250°. Use degree measure. a. b. c. d. 20° 110° 470° 90° ____ 35. Given and is in Quadrant IV, find a. b. c. d. ____ 36. 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 a. b. c. d. undefined 1 –1 0 ____ 37. ____ 38. a. b. c. d. ____ 39. 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 ____ 40. Given a. b. c. d. ____ 41. a. b. c. d. and is in Quadrant III, find ____ 42. Sketch −220° in standard position. a. b. c. d. ____ 43. 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° ____ 44. Express a. b. c. d. radians in degrees. 120° 150° 300° 240° ____ 45. How far is the point (–8, –15) from the origin? a. b. c. 7 23 d. 17 ____ 46. Evaluate the expression tan 225° without using your calculator. a. b. c. d. −1 1 ____ 47. Find the value of sin 320° to four places. a. b. c. d. –0.7660 0.7660 0.6428 −0.6428 ____ 48. a. b. c. d. ____ 49. a. b. c. d. 90° 270° 0° 180° ____ 50. a. b. c. d. –1 undefined 0 1 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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Hi,Please find all answers highlighted in attached PDF. Please let me know, if you have any doubt.Thanks

Course Name: Precalculus: Trigonometry
Student: Kwinda Netshitangani

Course ID: MTHH044059
ID: J47865775

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.

Find the smallest negative angle coterminal with

. Use radian measure.

a.
b.
c.
d.

____ 2.

Find the smallest negative angle coterminal with –160°. Use degree measure.
a.
b.
c.
d.

____ 3.

–700°
–520°
–880°
–340°

Given

and

is in Quadrant IV, find

a.
b.
c.
d.

____ 4.

The reference angle of 171° is
a.
b.
c.
d.

71°
81°

19°

____ 5.

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

____ 6.
a.
b.
c.
d.

____ 7.

Given a right triangle where side a = 12 and side b = 16, 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.20
a.
b.
c.
d.

____ 8.

Roun...


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