math progress test 3

Anonymous
timer Asked: Jun 14th, 2018
account_balance_wallet $25

Question description





PLEASE CHECK ATTACHMENT FOR FULL PAPER.







How many cycles does the sine function, y = 3 sin θ, have in the interval from 0 to 2

a. 1 b. 2 c. 3 d. 4

Find the measure of the angle in standard position.

  1. 115°
  2. −155°
  3. 245°
  4. −245°

Identify the amplitude and period of this function: y = 5 sin 2θ.

?

page1image1802272

page1image1815264

____ 3.

page1image1815712

a.
b.
c.
d. 5,

Describe the phase shift and determine the value of “h” in the translation; y = cos (x

2, 2, 5,

page1image1789728

page1image1768672

page1image1788832

page1image1789056

____ 4.

d.

).

a.

b. c.

units to the left; h = − 1unittotheleft;h=−1

units to the right; h = units to the right; h =

page1image1815936

page1image1815488

page1image1816384

page1image1816160

page1image1817056

page1image1783008

____ 5.

Write this measure in degrees: 5 page2image1813248radians.

page2image1813024

____ 6.

____ 7.

____ 8.

  1. 36°
  2. 900°
  3. 1800°
  4. 180°

Write this measure in degrees:

  1. 157.5°
  2. 315°
  3. 205.7°
  4. 70°

radians.

UseeithertheLawofSinesortheLawofCosines. In page2image1813696,d=15in.,e=18in.,andf=10in.Findm .

page2image1813472

a. b. c. d.

111.7° 56.3° 89.8° 24.5°

Find the exact sine value of −30° a.

b. c. d.

page2image1813920

page2image1814144

page2image1814368

− −

page2image1814592

____ 9.

Find the period of this function:

a. 2 b. 4 c. 6 d. 8

The period of a periodic function is 2.5 s. How many cycles does it go through in 20 s?

page2image1826688

____ 10.

page2image1825792

a.

  1. 2 cycles
  2. 50 cycles
  3. 8 cycles

cycle

____ 11.

Verify this identity: sin θ csc θ = 1.

page3image1817504

____ 12.

____ 13.

Describe the translation in y = cos (x – 3) + 2.

  1. left 3 units; up 2 units
  2. right 3 units; down 2 units
  3. left 3 units; down 2 units
  4. right 3 units; up 2 units

Identify the graph of this function from 0 to 2 a.

b.

c.

d.

: y = 2 cos x.

a.
b.
c.
d. 0=0

cos θ • = 1 •=1

page3image1817056

page3image1817728

page3image1817280

sin θ • = 1

page3image1817952

page3image1818176

page3image1818400

page3image1818624

page3image1818848

____ 14.

____ 15.

____ 16.

____ 17.

Two buildings on level ground are 150 feet apart. From the top edge of the shorter building, the angle of elevation to the top of the taller building is 32°, and the angle of depression to the bottom of the taller building is 40°. How tall is each building?

  1. 96 ft, 176 ft
  2. 260 ft, 419 ft
  3. 126 ft, 220 ft
  4. 223 ft, 317 ft

Simplify this expression: sin θ sec θ cot θ. a.

radians.

page4image1820416

b.

sin2 θ c. 0

d. 1

Write this measure in degrees: −4

  1. −720°
  2. −1440°
  3. −45°

Course Name: Second Year Algebra 2 Student: Aryash Chauhan Course ID: MTHH040059 ID: F68560331 Submittal: 59 Progress Test 3 Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book test. It is important that you do your own work. Select the response that best completes the statement or answers the question. Your graphing calculator may be used on this progress test. You may also use scratch paper to work out the solutions. ____ 1. How many cycles does the sine function, y = 3 sin θ, have in the interval from 0 to 2 a. b. c. d. ____ 2. ____ 4. 1 2 3 4 Find the measure of the angle in standard position. a. b. c. d. ____ 3. ? 115° −155° 245° −245° Identify the amplitude and period of this function: y = 5 sin 2θ. a. 2, b. 2, c. 5, d. 5, Describe the phase shift and determine the value of “h” in the translation; y = cos (x – a. units to the left; h = − b. c. 1 unit to the left; h = −1 units to the right; h = d. units to the right; h = ). ____ 5. Write this measure in degrees: 5 a. b. c. d. ____ 6. ____ 7. radians. 157.5° 315° 205.7° 70° Use either the Law of Sines or the Law of Cosines. In . a. b. c. d. ____ 8. 36° 900° 1800° 180° Write this measure in degrees: a. b. c. d. radians. , d = 15 in., e = 18 in., and f = 10 in. Find m 111.7° 56.3° 89.8° 24.5° Find the exact sine value of −30° a. b. c. d. ____ 9. − − Find the period of this function: a. b. c. d. 2 4 6 8 ____ 10. The period of a periodic function is 2.5 s. How many cycles does it go through in 20 s? a. b. c. d. cycle 2 cycles 50 cycles 8 cycles ____ 11. Verify this identity: sin θ csc θ = 1. a. cos θ • b. • c. sin θ • d. 0=0 =1 =1 =1 ____ 12. Describe the translation in y = cos (x – 3) + 2. a. b. c. d. left 3 units; up 2 units right 3 units; down 2 units left 3 units; down 2 units right 3 units; up 2 units ____ 13. Identify the graph of this function from 0 to 2 : y = 2 cos x. a. b. c. d. ____ 14. Two buildings on level ground are 150 feet apart. From the top edge of the shorter building, the angle of elevation to the top of the taller building is 32°, and the angle of depression to the bottom of the taller building is 40°. How tall is each building? a. b. c. d. 96 ft, 176 ft 260 ft, 419 ft 126 ft, 220 ft 223 ft, 317 ft ____ 15. Simplify this expression: sin θ sec θ cot θ. a. b. c. d. sin2 θ 0 1 ____ 16. Write this measure in degrees: −4 a. b. c. d. radians. −720° −1440° −45° −180° ____ 17. Write this measure in radians: 110°. a. b. c. 100 d. ____ 18. Find the measure of x to the nearest tenth. a. b. c. d. 27.4° 57.4° 95.2° 86.2° ____ 19. Write this measure in radians: 450°. a. b. 450 c. d. ____ 20. Find the value in radians of tan–1 (–1.2). a. b. c. d. −1.1415 −0.8761 −2.5722 no solution ____ 21. A triangle with side lengths 11 in and 15 in and the measure of the angle between them is 97 degrees. What is the area of the triangle? a. 61.3 in.2 b. 81.9 in.2 c. 42.6 in.2 d. 18.7 in.2 ____ 22. Use either the Law of Sines or the Law of Cosines. In a. b. c. d. ,m = 54°, d = 14 in., and f = 20 in. Find e. 16.3 in. 14.2 in. 21.8 in. 24.2 in. ____ 23. In a circle, an arc of length 43.2 cm is intercepted by a central angle of radians. What is the radius of the circle? Round to the nearest whole number. a. b. c. d. ____ 24. 54 cm 17 cm 11 cm 35 cm is a right triangle with m a. b. c. d. = 90°. RS = 48, cos R = ; Find cot R. ____ 25. Find the maximum value of this function: a. b. c. d. 4 3 −3 −4 ____ 26. Use the graph above to find the value of y = sin θ for the value 330°. a. b. c. d. −1 0 1 −0.5 ____ 27. Solve this equation for 0 ≤ θ ≤ : cos θ + = 0. a. b. c. d. ____ 28. Find the exact cosine value of −30°. a. b. c. d. − − ____ 29. Use either the Law of Sines or the Law of Cosines. In . a. b. c. d. 38.3° 19.6° 7.5° 26.7° ,m = 43°, d = 16 in., and f = 24 in. Find m ____ 30. Simplify this expression: . a. b. c. d. sin2 θ 0 1 ____ 31. Find the measure of x to the nearest tenth. a. b. c. d. 74.2° 69.6° 59.6° 48.4° ____ 32. Evaluate this expression in radians: csc a. b. . 45 c. d. 1 ____ 33. Find the exact value of sin 15° . Use a half-angle identity. a. b. c. d. ____ 34. Solve this equation for 0 ≤ θ < 2 a. b. 0, 1 , −1 c. 0, d. 0, ,2 : sin θ cos θ + sin θ = 0. ____ 35. Identify the domain and range of this function: y = −cos 2θ. a. b. c. d. d: all real numbers; r: −1 ≤ y ≤ 1 d: −2 ≤ x ≤ 2; r: all real numbers d: all real numbers; r: −2 ≤ y ≤ 2 d: −1 ≤ x ≤ 1; r: all real numbers ____ 36. How many cycles does the sine function have in the interval 0 to 2 ? a. b. c. d. 0 1 2 3 ____ 37. Find the exact value of tan 330°. Use the sum or difference identity. a. b. c. d. − ____ 38. Use the graph above to find the value of y = sin θ for the value a. b. c. d. radians. 0.5 0 1 −1 ____ 39. Find the exact value of cos 75°. Use the sum or difference identity. a. b. c. d. ____ 40. is a right triangle, with a. b. c. d. being the right angle. m = 51°, b = 8, find a. 5.4 5.7 6.3 9.9 ____ 41. Identify the amplitude and period of this function: y = 4 cos a. 4, 6 b. 3, 6 c. 3, 4 d. 4, 3 . ____ 42. Write this measure in radians: −30°. a. − b. c. − d. ____ 43. Find the exact value of cos 480°. Use a double-angle identity. a. b. 1 c. d. 0 −1 − ____ 44. Find the measure of an angle between 0° and 360° degrees coterminal with 415 degrees. a. b. c. d. ____ 45. −125° −55° 125° 55° is a right triangle with m a. b. c. d. = 90°. RS = 48, cos R = ; Find sin R. ____ 46. Use either the Law of Sines or the Law of Cosines. In Find RS. a. b. c. d. ,m = 78°, m = 39°, and TS = 19 in. 6.6 in. 10.4 in. 12.2 in. 29.5 in. ____ 47. Find the minimum value of this function: a. b. c. d. 6 8 5 0 ____ 48. Name two different times when the hands of a clock show an angle of a. b. c. d. radians. 1:00, 11:00 2:00, 10:00 3:00, 9:00 4:00, 8:00 ____ 49. Identify the amplitude and period of this function: y = 3 cos θ. a. 2, 3 b. 6, 2 c. 3, d. 3, 2 ____ 50. Identify the amplitude and period of this function: y = a. b. tan (2 )x. n is an integer, ,2 c. none because no maximum or minimum value exist; d. none because no maximum or minimum value exist; 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. ©2018, The Board of Regents of the University of Nebraska. All rights reserved. Second Year Algebra 2: Trigonometry Summary of Formulas Summary of Tables MTHH 040 TABLES Included in this section are two sets of tables. The first is the Table of Trigonometric Functions for angles written in degrees and the second is the Table of Trigonometric Functions for angles written in radians. Summary of Tables MTHH 040 Tables MTHH 040 Tables MTHH 040 Tables MTHH 040 Tables MTHH 040 Tables MTHH 040 Tables MTHH 040 Tables MTHH 040 blank page Tables MTHH 040

Tutor Answer

jesusale932
School: University of Virginia

Here...

flag Report DMCA
Review

Anonymous
Totally impressed with results!! :-)

Similar Questions
Hot Questions
Related Tags

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors