Download Review 1) cos 30D = cos 90D - cos 60D TRUE FALSE 2) As a

5911 - 1 - Page 1
Name: ____________________________________________
Math 433
HW #98: Review
1)
cos 30D = cos 90D - cos 60D TRUE
2)
As angle t increases from p radians to 2p radians, the cosine of t
FALSE
A) decreases throughout the interval
B) decreases, then increases
3)
4)
The number of degrees equal to
radians is
A) 80D
B) 270D
C) (720 - t)D
D) (90 + t)D
B)
C)
D) 1
B) -30
C) 330
D) 150
B) cos (10D)
C) -sin (10D)
D) -cos (10D)
<1
C) 0 < M < 1
D) M > 1
C) 6
D) -3
If log M > 0, then
A) M < 1
10)
B) tD
Sin (190D) is equal to
A) sin (10D)
9)
D)
For which value of x is tan (x + 30)D undefined?
A) 60
8)
C)
B)
If f(x) = sin 2 x, then f( ) equals
A)
7)
D) 60D
If mAA = -tD, which of the following will be coterminal with AA?
A) -(2t)D
6)
C) 130D
If cos A = and A is in Quadrant I, what is the value of sin A d tan A?
A)
5)
C) increases, then decreases
D) increases throughout the interval
B) 0 <
What is the amplitude of the graph of y = a sin b(x + c) + d?
A) 3
B) -1
5911 - 1 - Page 2
11)
What equation is represented by the graph below?
A) y = sin 2x
12)
Log
B) 2
B)
log x + log y - log z
C)
D) p
C)
(log x + log y - log z)
D)
log x + log y - log z
If cos A > 0 and csc A < 0, in which quadrant does the terminal side of AA lie?
A) I
15)
D) y = 2 cos x
is equal to
A)
14)
C) y = cos 2x
What is the value of b in the graph below of y = a sin b(x + c) + d?
A) 2p
13)
B) y = 2 sin x
B) II
C) III
D) IV
C) (cos t, sin t)
D) (sin t, cos t)
C) - 2
D) 4
In the accompanying figure, OP = 1.
What are the coordinates of point P?
A) (-sin t, -cos t)
16)
B) (-cos t, -sin t)
If f(x) = 4 cos 3x, what is the value of f( )?
A) 135
B) -2 2
5911 - 1 - Page 3
17)
Given that log 2 3 = 1.58, and log 2 7 = 2.81, evaluate log 2 147 to the nearest hundredth.
A) 7.20
18)
B) 6.87
D) 21.25
Which of the following statements below are true based on the definition of the logarithm y = log b (x - 2)?
I.
II.
III.
IV.
x=4
b >0
b=1
x>2
A) I, II, and III, only
19)
C) 10.01
B) II, III, and IV, only
C) I and III, only
D) II, only
C) 12
D) 4
Which value of x satisfies the equation sin (3x + 5)D = cos (4x + 1)D?
A) 24
B) 30
20)
A new boat will decrease in value at a rate of 8% per year according to this formula V = C(1 - r)t where V is the value of the boat after
t years, C is the original cost, and r is the rate of depreciation. If a boat costs $40,000 new, find the number of years until the boat is
worth $18,000. [Round the answer to the nearest tenth of a year.]
21)
Solve for x to the nearest tenth:
22)
Evaluate:
23)
As angle t increases from 90D to 180D, describe completely the variation of cos t and sin t.
24)
If t is an angle in standard position in quadrant III and sec t = -4, evaluate all remaining trigonometric functions of t in simplest radical
form.
25)
In the interval 0 < x < 2p, state the value(s) for which the function y = csc x is undefined.
26)
Express log x in terms of log a, log b, and log c:
27)
The amount of money A after t years that principal P will become if it is invested at rate r compounded n times a year is given by the
3 csc
- cot
62x-1 = 73
sin
x=
relationship A(t) = P(1 + )nt where r is expressed as a decimal. To the nearest tenth, how long will it take $5,300 to become $7,000 if it is
invested at 9% and is compounded quarterly?
5911 - 1 - Page 4
Evaluate:
29)
What is the range of the function y = csc x?
30)
The sides of a triangular plot of land are 50, 80, and 100 meters.
(a)
(b)
csc
- sec p
28)
Find, to the nearest degree, the measure of the largest angle of the triangle.
Using the answer obtained in part (a), find the area of the triangle to the nearest square meter.
31)
Find the measure of angle A if 0D < A < 90D: tan (3A + 38)D = cot AD
32)
In hABC, mAA = 47D, a = 50, b = 63, and angle B is obtuse. Find mAC to the nearest degree.
33)
How many different triangles can be constructed, given the parts mAA = 45D, a = 40, and b = 36.
34)
Solve:
35)
Convert 216D to radian measure and express the answer in terms of p.
36)
Find, to the nearest degree, the measure of the angle between two forces of 30 pounds and 35 pounds if the magnitude of the resultant is
42 pounds.
37)
Convert
38)
Of the functions sin x, cos x, and tan x, which increase in quadrant II?
39)
Express sin 430D as a function of a positive acute angle less than 45D.
-\
2x
-4=2
radians to degrees.