# math prog test 3

*label*Mathematics

*timer*Asked: Jun 12th, 2018

*account_balance_wallet*$20

**Question description**

Find the maximum value of this function:

- −4
- 4
- 2
- −2

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

- 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).

- 1.6087
- 2.6906
- 0.3717
- 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*.

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

,*m *=78°,*m
*=39°,and*TS*=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
- −0.5
- 0.5
- 1

Find the period of this function:

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

____ 10.

isarighttrianglewith*m
*=90°. *RS*=48,cos*R*=

;Findcot*R*.

____ 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.

isarighttrianglewith*m
*S=90°. *RS*=24,cos*R*=

;Findsin*R*.

____ 13.

____ 14.

Identify the

- d: all
- d: −2
- d: all
- d: −1

Identify the

a. b. c. d.

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

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 5*θ*.

## Tutor Answer

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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