Question 1

State the domain and range of the function.
y =
   
Domain = ___________
Range = _____________

Accepted Answer

Domain = all real nu

Question 2

Graph the function y = 
   
,
   
.

Accepted Answer

The answer of Graph the function y = 
 ...

Question 3

Find the exact value of csc
 
Using the unit circle. Rationalize the denominator, if necessary.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Graph the function y =
   
over one period.

Accepted Answer

The answer of Graph the function y =
  ...

Question 5

State the amplitude, period, and phase shift of the function.
Y =

Accepted Answer

A)  Amplitude = 2; period = 6; phase shift =   
B)  Amplitude = 2; period = 3; phase shift =   
C)  Amplitude = 2; period = 6; phase shift =   
D)  Amplitude = 2; period = 6; phase shift =   
A)  Amplitude = 2; period = 6; phase shift =   
B)  Amplitude = 2; period = 3; phase shift =   
C)  Amplitude = 2; period = 6; phase shift =   
D)  Amplitude = 2; period = 6; phase shift =

Question 6

State the domain and range of the function.
y = tan
   
Domain = _____________
Range = _____________

Accepted Answer

Domain = all real nu

Question 7

State the amplitude and period of the sinusoidal function.
y =
   
Amplitude _________
Period ___________

Accepted Answer

Amplitude

Question 8

Use the unit circle and the fact that the sine is an odd function and the cosine is an even function to find the exact value of sin
   
.

Accepted Answer

The answer of Use the unit circle and the fact...

Question 9

Match the graph of the function over the interval
 
To its equation.

Accepted Answer

A)  y =   
B)  y =   
C)  y =   
D)  y =   
A)  y =   
B)  y =   
C)  y =   
D)  y =

Question 10

Graph the function y =
   
over one period.

Accepted Answer

The answer of Graph the function y =
  ...

Question 11

Find the exact value of sin
 
Using the unit circle.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Find the exact value of csc

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Graph the function
   
over one period.

Accepted Answer

The answer of Graph the function
   
over one...

Question 14

When an airplane flies faster than the speed of sound, the sound waves that are formed take on a cone shape, and where the cone hits the ground, a sonic boom is heard. If
 
Is the angle of the vertex of the cone, then
Sin
 
Where V is the speed of the plane and M is the mach number, then what is the speed of the plane if the plane is flying at mach 1.6?
Speed of the plane is __________ m/sec.

Accepted Answer

A)  Speed of the plane is 528 m/sec. 
B)  Speed of the plane is 206 m/sec. 
C)  Speed of the plane is 0.005 m/sec. 
D)  Speed of the plane is 52.8 m/sec. 
A)  Speed of the plane is 528 m/sec. 
B)  Speed of the plane is 206 m/sec. 
C)  Speed of the plane is 0.005 m/sec. 
D)  Speed of the plane is 52.8 m/sec.

Question 15

Match the graph of the cosine function to the equation over
 
)

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Select the answer that cannot be the value of csc

Accepted Answer

A)  0.76 
B)  4.54 
C)  1.23 
D)  All are possible values of csc.   
A)  0.76 
B)  4.54 
C)  1.23 
D)  All are possible values of csc.

Question 17

Graph the function y = 
   
over the interval
   
.

Accepted Answer

The answer of Graph the function y = 
 ...

Question 18

State the amplitude, period, and phase shift of the function.
y =
   
Amplitude = ________
Period = __________
Phase Shift = _________

Accepted Answer

Amplitude

Question 19

State the domain of the function.
Y = tan

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

State the amplitude, period, and phase shift of the function.
Y =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

State the domain and range of the function. y = Domain = _ Range = ___

Graph the function y = , .

Find the exact value of csc Using the unit circle. Rationalize the denominator, if necessary.

Graph the function y = over one period.

State the amplitude, period, and phase shift of the function. Y =

State the domain and range of the function. y = tan Domain = _ Range = _

State the amplitude and period of the sinusoidal function. y = Amplitude _ Period ___

Use the unit circle and the fact that the sine is an odd function and the cosine is an even function to find the exact value of sin .

Match the graph of the function over the interval To its equation.

Graph the function y = over one period.

Find the exact value of sin Using the unit circle.

Find the exact value of csc

Graph the function over one period.

Match the graph of the cosine function to the equation over )

Select the answer that cannot be the value of csc

Graph the function y = over the interval .

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___

State the domain of the function. Y = tan

State the amplitude, period, and phase shift of the function. Y =

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 5: Trigonometric Functions of Real Numbers

State the domain and range of the function. y = Domain = ___________ Range = _____________

Graph the function y = , .

Find the exact value of csc Using the unit circle. Rationalize the denominator, if necessary.

Graph the function y = over one period.

State the amplitude, period, and phase shift of the function. Y =

State the domain and range of the function. y = tan Domain = _____________ Range = _____________

State the amplitude and period of the sinusoidal function. y = Amplitude _________ Period ___________

Use the unit circle and the fact that the sine is an odd function and the cosine is an even function to find the exact value of sin .

Match the graph of the function over the interval To its equation.

Graph the function y = over one period.

Find the exact value of sin Using the unit circle.

Find the exact value of csc

Graph the function over one period.

Match the graph of the cosine function to the equation over )

Select the answer that cannot be the value of csc

Graph the function y = over the interval .

State the amplitude, period, and phase shift of the function. y = Amplitude = ________ Period = __________ Phase Shift = _________

State the domain of the function. Y = tan

State the amplitude, period, and phase shift of the function. Y =

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

State the domain and range of the function. y = Domain = _ Range = ___

State the domain and range of the function. y = tan Domain = _ Range = _

State the amplitude and period of the sinusoidal function. y = Amplitude _ Period ___

State the amplitude, period, and phase shift of the function. y = Amplitude = Period = Phase Shift = ___