Unit Test 2
A particular sound wave can be graphed using the function y=-10sin4x. Find the amplitude and period of the function.
A.
A particular sound wave can be graphed using the function y=-3sinx. Find the amplitude and period of the function
A.
Determine the period of the function y=-2sin(pi/2)x
D. 4
Use the graph to find the value of y = sin theta for the value of theta. 90º
d. 1
Determine the period of the function y = -3cos(pi/2)x
d. 10
Determine the amplitude or period as requested. Amplitude of 1/3cos2x
d. 1/3
Determine the amplitude or period as requested. Period of y=4sin1/3x
d. 6pi
Determine the period of the function y=3sin(2x)
d. Pi
Find the value of Sin^-1(tan pi/4)
d. Pi/2
Determine the amplitude or period as requested. Period of y=-1/3sin2x
d. pi.
Find the period, range, and amplitude of the cosine function y=3/2 cos t/2
A.
Write an equation of the cosine function with amplitude pi/2 and period 3.
A.
Use the graph to find the value of y = sin theta for the value of theta 240º
A. -0.9
Find the period of the graph shown below.
A. 1/2pi.
Determine the amplitude or period as requested. Amplitude of y=3-4sin3x
A. 4
Determine the amplitude or period as requested. Amplitude of y=4sin 1/3x
A. 4
Evaulate sin(Arccos(-9/square root 145))
A. 8/ squareroot 145
How does A compare to B? A. Sin pi/2 B. cos(-pi)
A. A>=B
Find the period of the graph shown below.
A. pi
Find the value of Sin^-1 0
B. 0
Find the period of the graph shown below.
B. 2/3pi
Determine the amplitude or period as requested. Amplitude of y=4cosx
B. 4
Determine the amplitude or period as requested. Amplitude of y=5cosx
B. 5
Which function has a range of (-pi/2,pi/2)?
B. y= Tan ^-1 x.
Write a cosine function for the graph.
B. y=3cos 3 theta
Graph y= sin^-1 (-1/2x) the interval -5<= x <= 5
C.
Sketch one cycle of y = 2 sin theta
C.
Sketch one cycle of y = 4 sin 4theta
C.
Sketch one cycle of y = sin 2 theta
C.
Sketch one cycle of y = sin 2theta
C.
Which describes the behavior of the function f(x)= tan^-1(x)
C.
Write a cosine function for the graph.
C. -5cos theta
Determine the amplitude of the function y=-1/2cosx
C. 1/2
Write a cosine function for the graph.
C. 2cos4 theta
Write an equation of the cosine function with amplitude 2 and period 4pi.
C. y=2cos(1/2x)
Graph the following fnction on the interval -5 <= x <= 5 y= Arc cos (1/3x)
D.
Graph y=sin^-1 (1/4x) on the interval -5<= x <= 5
D.
Write the equation for the inverse of the function. y = cos 2x
D.
Determine the amplitude or period as requested. Amplitude of y=sin3x
D. 1
Determine the amplitude or period as requested. Amplitude of y=sin5x
D. 1
Determine the amplitude or period as requested. Amplitude of y=-3cos1/4x
D. 3
Determine the amplitude or period as requested. Amplitude of y=-4cos1/3x
D. 4
Suppose 8-in waves pass every 3 s. Write an equation that models the height of a water molecule as it moves from crest to crest.
D. 4cos 2pi/3 theta
Determine the amplitude or period as requested. Period of y=4sin1/3x
D. 6pi
Find the value of Arc cos 0
D. pi/2
What is the value of cos(Tan^-1 1)?
D. square root 2 /2
Write a cosine function for the graph.
D. y=-2cos3theta
cos^1 (x) = -Cos^-1 x for -1<= x <= 1
False
Sin(Sin^-1x) = x for -1<= x <= 1
True
cos(theta + 2pi) = cos theta
True
A particular sound wave can be graphed using the function y=1sin4x Find the amplitude and period of the function.
a.
Use the graph to find the value of y = sin theta for the value of theta. 330º
a. -0.5
Find the amplitude of the sine curve shown below.
a. 2
Determine the amplitude or period as requested. Period of y=-2sinx
a. 2pi.
Find the period of the graph shown below.
a. 4pi.
Find the value of Tan^-1 squareroot 3/ 3
a. pi/6
Write a cosine function for the graph.
a. y=4cos2 theta
Write the equation for the sine function shown below.
a.y=-sin5theta
Use the graph to find the value of y = sin theta for the value of theta 360º
b. 0
Determine the amplitude of the function y = 2 cos x from the graph shown below:
b. 2
Use a graphing calculator to solve the equation -6cos pi/3 theta=4 in the interval from 0 to 2pi. Round to the nearest hundredth.
b. 2.20, 3.80
In the expression y=asin(x), what does the a stand for?
b. amplitude
Find the amplitude and period of y = -5 sin (5x).
b. amplitude = 5, period = 2/5 pi
Write the equation for the inverse of the function. y = sin x
b. y = Arcsin x
Use the graph to find the value of y = sin theta for the value of theta 1/4 pi radians
b. 0.7
Determine the amplitude or period as requested. Amplitude of y=cos3x
b. 1
Determine the amplitude or period as requested. Amplitude of y=-1/5sinx
b. 1/5
Determine the amplitude of the function y = 2 cos x from the graph shown below:
b. 2
Determine the amplitude or period as requested. Amplitude of y=3cos1/2x
b. 3
Write the equation for the inverse of the function. y= Arctan(x+pi/2)
b. y=tanx=pi/2
Use the graph to find the value of y = sin theta for the value of theta 1/3 pi radians
c. 0.9
Solve 2 cos theta + 2 = 3 in the interval from 0 to 2 theta Round to the nearest hundredth.
c. 1.05, 5.24
Find the amplitude of the sine curve shown below.
c. 4
How does A compare to B? A. Cos pi B. Sin 3pi/2
c. A = B
How does A compare to B? A. cos(theta+2pi) B. cos(-theta)
c. A = B
How does A compare to B? A. sin pi/2 B. cos 0
c. A = B
The b in both of the graph types: affects the period (or wavelength) of the graph. What happens to the period as the value of b gets larger?
c. period decreases
Determine the amplitude or period as requested. Amplitude of y= -2sinx
c. 2
Determine the amplitude or period as requested. Amplitude of y=-2sinx
c. 2
Determine the amplitude or period as requested. Amplitude of y=-5sinx
c. 5
What is the value of Arc tan 1?
c. pi/4
Find the value of tan(sin^-1(1/2))
c. square root 3/ 3
Write the equation for the inverse of the function. y= pi/4 + sinx
c. y= Arcsin(x - pi/4)
Write the equation for the sine function shown below.
c. y=5sin2theta
Use the graph to find the value of y = sin theta for the value of theta. 270º
d. -1
cos theta= cos (-theta)
true
Write a cosine function for the graph.
y= -4 cos 4 theta
