math prog test 3

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timer Asked: Jun 12th, 2018
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Question description

Find the maximum value of this function:

  1. −4
  2. 4
  3. 2
  4. −2

Describe the translation in y = cos (x + 1) – 2.

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

Find the value in radians of cos–1 (–0.9).

  1. 1.6087
  2. 2.6906
  3. 0.3717
  4. no solution

Write this measure in radians: 110°. a.

b.

c. 100 d.

page1image3832000

____ 2.

____ 3.

____ 4.

page1image3832896

page1image3833568

page1image3836032

page1image3835136

____ 5.

Find the exact value of tan 300°. Use the sum or difference identity. a.

page2image3827296

page2image3827744

b. c.

d.

page2image3830208

page2image3827072

page2image3829760

____ 6.

____ 7.

____ 8.

UseeithertheLawofSinesortheLawofCosines. In Find RS.

  1. 6.6 in.
  2. 10.4 in.
  3. 12.2 in.
  4. 29.5 in.

,m =78°,m page2image3830656=39°,andTS=19in.

page2image3830432

page2image3830880

page2image3831104

page2image3831328

page2image3831552

page2image3831776

page2image3832000

____ 9.

Identify the amplitude and period of this function: y = 4 cos .

a. 4,6 b. 3,6 c. 3,4 d. 4,3

Use the graph above to find the value of y = sin θ for the value 150°.

  1. −1
  2. −0.5
  3. 0.5
  4. 1

Find the period of this function:

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

page2image3832224

page3image3834464

____ 10.

isarighttrianglewithm page3image3834688=90°. RS=48,cosR=

;FindcotR.

page3image3834912

page3image3835584

page3image3835808

page3image3835360

page3image3836032

____ 11.

a. b. c. d.

Find the exact value of cos 22.5° . Use a half-angle identity. a.

b.

c. d.

a. b. c. d.

page3image3836256

page3image3836480

page3image3836704

page3image3836928

page3image3837152

____ 12.

isarighttrianglewithm page3image3837376S=90°. RS=24,cosR=

;FindsinR.

page3image3837600

page3image3837824

page3image3838048

page3image3838272

page3image3838496

____ 13.

____ 14.

Identify the

  1. d: all
  2. d: −2
  3. d: all
  4. d: −1

Identify the

a. b. c. d.

domain and range of this function: y = −cos 2θ.

real numbers; r: −1 ≤ y ≤ 1 ≤ x ≤ 2; r: all real numbers real numbers; r: −2 ≤ y ≤ 2 ≤ x ≤ 1; r: all real numbers

amplitude and period of this function: y =

page3image3838720

tan (3 page3image3838944)x.

page3image3839168

,3 none

page3image3839392

page3image3839616

because no maximum or minimum value exist; n is an integer,

none because no maximum or minimum value exist;

page3image3839840

page3image3840064

page3image3840288

____ 15.

Identify the amplitude and period of this function: y = 3 sin 5θ.

page4image3852160

Course Name: Second Year Algebra 2 Student: Tomi Tngryan Course ID: MTHH040059 ID: B75516711 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. Find the maximum value of this function: a. b. c. d. ____ 2. Describe the translation in y = cos (x + 1) – 2. a. b. c. d. ____ 3. left 1 unit; down 2 units left 1 unit; up 2 units right 1 unit; down 2 units right 1 unit; up 2 units Find the value in radians of cos–1 (–0.9). a. b. c. d. ____ 4. −4 4 2 −2 1.6087 2.6906 0.3717 no solution Write this measure in radians: 110°. a. b. c. d. 100 ____ 5. Find the exact value of tan 300°. Use the sum or difference identity. a. b. c. d. ____ 6. Use either the Law of Sines or the Law of Cosines. In Find RS. a. b. c. d. ____ 7. ____ 8. ,m 6.6 in. 10.4 in. 12.2 in. 29.5 in. Identify the amplitude and period of this function: y = 4 cos a. 4, 6 b. 3, 6 c. 3, 4 d. 4, 3 . Use the graph above to find the value of y = sin θ for the value 150°. a. b. c. d. ____ 9. − −1 −0.5 0.5 1 Find the period of this function: a. b. c. d. 2 4 6 8 = 78°, m = 39°, and TS = 19 in. ____ 10. is a right triangle with m = 90°. RS = 48, cos R = ; Find cot R. a. b. c. d. ____ 11. Find the exact value of cos 22.5° . Use a half-angle identity. a. b. c. d. ____ 12. − is a right triangle with m S = 90°. RS = 24, cos R = ; Find sin R. a. b. c. d. ____ 13. 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 ____ 14. Identify the amplitude and period of this function: y = a. tan (3 ,3 b. none because no maximum or minimum value exist; c. n is an integer, d. none because no maximum or minimum value exist; )x. ____ 15. Identify the amplitude and period of this function: y = 3 sin 5θ. a. 5, b. 3, c. 3, d. 5, ____ 16. Simplify this expression: . a. b. c. d. sin2 θ 0 1 ____ 17. Find the minimum value of this function: a. b. c. d. 6 8 5 0 ____ 18. Find the exact value of cos 15°. Use the sum or difference identity. a. b. c. d. ____ 19. Use either the Law of Sines or the Law of Cosines. In a. b. c. d. 111.7° 56.3° 89.8° 24.5° , d = 6 in., e = 7 in., and f = 12 in. Find m . ____ 20. Identify the graph of this function from 0 to 2 : y = 3 cos x. a. b. c. d. ____ 21. Solve this equation for 0 ≤ θ ≤ : sin θ – = 0. a. b. c. d. ____ 22. How many cycles does the sine function, y = sin θ, have in the interval from 0 to 2 a. b. c. d. 1 2 3 4 ? ____ 23. Find the measure of an angle between 0° and 360° degrees coterminal with 575 degrees. a. b. c. d. 215° −145° 35° 145° ____ 24. Verify this identity: cos θ sec θ = 1. a. cos θ • b. • c. sin θ • d. 0=0 =1 =1 =1 ____ 25. Name two different times when the hands of a clock show an angle of a. b. c. d. 1:00, 11:00 2:00, 10:00 3:00, 9:00 4:00, 8:00 ____ 26. Write this measure in degrees: 5 a. b. c. d. radians. radians. 36° 900° 1800° 180° ____ 27. The period of a periodic function is 6 s. How many cycles does it go through in 30 s? a. b. 5 cycles c. d. 180 cycles 3 cycles cycle ____ 28. In a circle, an arc of length 43.2 cm is intercepted by a central angle of the circle? Round to the nearest whole number. a. b. c. d. 54 cm 17 cm 11 cm 35 cm radians. What is the radius of ____ 29. Find the measure of x to the nearest tenth. a. b. c. d. 29.5° 38.5° 112.4° 54.4° ____ 30. Use either the Law of Sines or the Law of Cosines. In . a. b. c. d. 38.3° 19.6° 7.5° 26.7° ____ 31. Find the exact cosine value of 390°. a. b. c. − d. −1 ____ 32. Find the measure of x to the nearest tenth. a. b. c. d. 21.6° 15.9° 33.7° 46.1° ,m = 43°, d = 16 in., and f = 24 in. Find m ____ 33. Evaluate this expression in radians: csc . a. b. c. d. 2 ____ 34. Solve this equation for 0 ≤ θ < 2 a. b. 0, 1 , −1 c. 0, d. 0, : sin θ cos θ + sin θ = 0. ,2 ____ 35. 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. ____ 36. Simplify this expression: sin θ csc θ. a. b. c. d. sin2 θ 0 1 ____ 37. Two buildings on level ground are 200 feet apart. From the top edge of the shorter building, the angle of elevation to the top of the taller building is 24°, and the angle of depression to the bottom of the taller building is 35°. How tall is each building? a. b. c. d. 100 ft, 200 ft 140 ft, 229 ft 150 ft, 215 ft 125 ft, 225 ft ____ 38. Find the exact sine value of −30° a. b. c. d. − − ____ 39. Write this measure in radians: 450°. a. b. 450 c. d. ____ 40. Write this measure in degrees: −2 a. b. c. d. radians. −90° −360° −720° −180° ____ 41. How many cycles does the sine function have in the interval 0 to 2 ? a. b. c. d. 1 2 3 ____ 42. Write this measure in radians: −30°. a. − b. c. − d. ____ 43. Find the measure of the angle in standard position. a. b. c. d. 135° −225° −135° 225° ____ 44. Find the exact value of cos 660°. Use a double-angle identity. a. b. 1 c. d. 0 −1 ____ 45. is a right triangle, with a. b. c. d. being the right angle. m = 29°, b = 8, find a. 14.4 4.4 3.9 7.1 ____ 46. Describe the phase shift and determine the value of “h” in the translation; y = sin (x + a. units to the left; h = − b. c. 1 unit to the left; h = −1 units to the right; h = d. 1 unit to the right; h = ). ____ 47. Identify the amplitude and period of this function: y = −cos 2θ. a. 1, b. 2, c. 1, d. 2, ____ 48. Use the graph above to find the value of y = sin θ for the value a. b. c. d. radians. 0 0.5 1 −1 ____ 49. A triangle with side lengths 10 in and 16 in and the measure of the angle between them is 130 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 ____ 50. Write this measure in degrees: a. b. c. d. radians. 180° 150° 300° 15° 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

apradeep92
School: UCLA

Please find all answers highlighted in attached PDF. Please let me know if you have any doubts.Thanks

Course Name: Second Year Algebra 2
Student: Tomi Tngryan

Course ID: MTHH040059
ID: B75516711

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.

Find the maximum value of this function:

a.
b.
c.
d.
____ 2.

Describe the translation in y = cos (x + 1) – 2.
a.
b.
c.
d.

____ 3.

left 1 unit; down 2 units
left 1 unit; up 2 units
right 1 unit; down 2 units
right 1 unit; up 2 units

Find the value in radians of cos–1 (–0.9).
a.
b.
c.
d.

____ 4.

−4
4
2
−2

1.6087
2.6906
0.3717
no solution

Write this measure in radians: 110°.
a.
b.
c.
d.

100

____ 5.

Find the exact value of tan 300°. Use the sum or difference identity.
a.
b.
c.
d.

____ 6.

Use either the Law of Sines or the Law of Cosines. In
Find RS.
a.
b.
c.
d.

____ 7.

____ 8.

,m

6.6 in.
10.4 in.
12.2 in.
29.5 in.

Identify the amplitude and period of this function: y = 4 cos
a.

4, 6

b.

3, 6

c.

3, 4

d.

4, 3

.

Use the graph above to find the value of y = sin θ for the value 150°.

a.
b.
c.
d.
____ 9.



−1
−0.5
0.5
1

Find the period of this function:

a.
b....

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Anonymous
Outstanding Job!!!!

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