math prog test 3

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.

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____ 2.

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____ 4.

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____ 5.

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

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b. c.

d.

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____ 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.

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____ 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

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____ 10.

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

;FindcotR.

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____ 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.

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____ 12.

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

;FindsinR.

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____ 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 =

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tan (3 page3image3838944)x.

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,3 none

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

none because no maximum or minimum value exist;

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____ 15.

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

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