# 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.

____ 2.

____ 3.

____ 4.

____ 5.

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

b. c.

d.

____ 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 =39°,andTS=19in.

____ 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

____ 10.

isarighttrianglewithm =90°. RS=48,cosR=

;FindcotR.

____ 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.

____ 12.

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

;FindsinR.

____ 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 =

tan (3 )x.

,3 none

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

none because no maximum or minimum value exist;

____ 15.

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