4927 - 1 - Page 1
Name: ____________________________________________
Math 433: Homework #96
1)
The multiplicative inverse of sin 2 (90D) + cos 2 (90D) equals
A) undefined
2)
B) 0
B) 20D
B) 110
4)
sin 90D = sin 30D + sin 60D TRUE
5)
Evaluate:
6)
Which value is not in the domain of the function y = tan t?
2 tan
D) 45
C)
D)
C) -1 < y < 1
D) -1 < y < 3
What is the range of the function y = 2 sin 3t - 1?
B) -3 < y < -1
The expression 3 sin x reaches its maximum value when x, expressed in radians, equals
B) p
A)
As t increases from p to
C)
, which statement is true?
A) Cos t decreases from 1 to 0.
B) Sin t increases from -1 to 0.
10)
C) 0
FALSE
B) p
A) -3 < y < 1
9)
D) 60D
+ sin
A)
8)
C) 10D
)D undefined?
For which value of u is tan (
A) 50
7)
D) 1
Which is a value of x if sin (60D) = cos (x + 10)D?
A) 50D
3)
C) -1
What is the range of the function y = csc x?
C) Cos t increases from -1 to 0.
D) Sin t decreases from 1 to 0.
D) 3
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11)
Of the functions sin x, cos x, and tan x, which decrease in quadrant III?
12)
In the interval 0 < x < 2p, state the value(s) for which the function y = sec x is undefined.
13)
What is the amplitude of the graph of y = a sin b(x + c) + d?
A) 6
14)
B) 3
B) k - 5
B)
D) 4 - k
C) 3
D)
C) 2
D) 6p
C) y = 2 sin x
D) y = * cos 2x
What is the period of the graph of the equation y = 2 sin 3x?
A) p
B)
17)
What is the amplitude of y = tan x?
18)
Given y = -3 cos x, name:
(a)
(b)
(c)
19)
C) k - 4
What is the frequency of the graph of the equation y = 3 cos 4x?
A) 4
16)
D) -3
If g(x) = 4 sin 5x + k, what is the minimum value of g(x)?
A) k
15)
C) -1
p
amplitude
period in radians
frequency
What equation is represented by the graph below?
A) y = sin 2x
B) y = sin x
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20)
What equation is represented by the graph below?
A) y = * sin 2x
21)
B) 2p
C) 4p
D)
B) origin
C) x-axis
D) y-axis
How many x-intercepts will the graph of the equation y = sin t + 1 have over the interval 0 < t < 2p?
A) 1
24)
D) y = 2 sin x
The graph of the equation y = 3 cos x is symmetric with respect to the
A) line y = x
23)
C) y = -2 sin x
What is the value of b in the graph below of y = a cos b(x + c) + d when a > 0?
A)
22)
B) y = sin 2x
B) 2
C) 3
D) 4
Which of the following is an equation of a sine curve with maximum value of 2, minimum value of 0, and period of ?
A) y = 1 + sin 6x
B) y = 1 + sin 6px
C) y = 2 + sin 3px
D) y = 2 sin 3x
25)
On the same set of axes, sketch the graphs of y = 2 cos x and y = tan x for the values of x in the interval 0 < x < 2p.
26)
The effect of a certain blood pressure medication is shown in the graph below. Assume that the effectiveness of the drug ranges from 1
to 10 with 1 being the least effective. The graph shows an 80-day period. The period may be represented as y = A sin (Bx) + C.
Find the values of A, B, and C.