Question 1

State the amplitude and period of the sinusoidal function.
   Amplitude is ________
Period is _________

Accepted Answer

Amplitude

Question 2

Find the exact value of sin
 
Using the unit circle.

Accepted Answer

A)    
B)    
C)  0 
D)  1 
A)    
B)    
C)  0 
D)  1

Question 3

Find an equation of the graph.

Accepted Answer

The answer of Find an equation of the graph.
 ...

Question 4

Graph the function y = 
   
, over one period.

Accepted Answer

The answer of Graph the function y = 
 ...

Question 5

Graph the function y =
   
over one period.

Accepted Answer

The answer of Graph the function y =
  ...

Question 6

Find the exact value of csc 225° using the unit circle. Rationalize the denominator, if necessary.

Accepted Answer

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

Question 7

Sketch the graph of the function 
   
over
   
.

Accepted Answer

The answer of Sketch the graph of the function 
...

Question 8

Body Temperature. The human body temperature normally fluctuates during the day. If a person's body temperature can be modeled by the formula T = 99.1 - 0.5sin
 
Where x is the number of hours since midnight and T is in degrees Fahrenheit, the what is a person's temperature at 3:00 pm?

Accepted Answer

A)  97.86° 
B)  98.88° 
C)  98.28° 
D)  97.38° 
A)  97.86° 
B)  98.88° 
C)  98.28° 
D)  97.38°

Question 9

Graph the function y = 
   
,
   
.

Accepted Answer

The answer of Graph the function y = 
 ...

Question 10

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 cos (-225°)

Accepted Answer

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

Question 11

State the domain of the function.
Y =

Accepted Answer

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

Question 12

Body Temperature. The human body temperature normally fluctuates during the day. If a person's body temperature can be modeled by the formula T = 99.1 - 0.5sin
 
Where x is the number of hours since midnight and T is in degrees Fahrenheit, then what is a person's temperature at 3:00 am? Round your answer to two decimal places.

Accepted Answer

A)  99.13° 
B)  99.07° 
C)  98.60° 
D)  99.23° 
A)  99.13° 
B)  99.07° 
C)  98.60° 
D)  99.23°

Question 13

Match the graph of the function over one period to its equation.

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

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 (-210°)

Accepted Answer

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

Question 16

Graph the function 
   
over the interval [-8π, 8π] where 4π is the period of the function.

Accepted Answer

The answer of Graph the function 
   
over...

Question 17

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 (-45°)

Accepted Answer

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

Question 18

Select the answer that cannot be the value of sin

Accepted Answer

A)  0.05 
B)  0.97 
C)  1.43 
D)  All are possible values of sin.   
A)  0.05 
B)  0.97 
C)  1.43 
D)  All are possible values of sin.

Question 19

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 20

What is the frequency for the oscillation modeled by y = 9 cos
 
Frequency is __________ cycles per second

Accepted Answer

A)  Frequency is   cycles per second 
B)  Frequency is 16 $\pi$ cycles per second 
C)  Frequency is   cycles per second 
D)  Frequency is 8 $\pi$cycles per second 
A)  Frequency is   cycles per second 
B)  Frequency is 16 $\pi$ cycles per second 
C)  Frequency is   cycles per second 
D)  Frequency is 8 $\pi$cycles per second

State the amplitude and period of the sinusoidal function. Amplitude is Period is _

Find the exact value of sin Using the unit circle.

Find an equation of the graph.

Graph the function y = , over one period.

Graph the function y = over one period.

Find the exact value of csc 225° using the unit circle. Rationalize the denominator, if necessary.

Sketch the graph of the function over .

Body Temperature. The human body temperature normally fluctuates during the day. If a person's body temperature can be modeled by the formula T = 99.1 - 0.5sin Where x is the number of hours since midnight and T is in degrees Fahrenheit, the what is a person's temperature at 3:00 pm?

Graph the function y = , .

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 cos (-225°)

State the domain of the function. Y =

Match the graph of the function over one period to its equation.

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

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 (-210°)

Graph the function over the interval [-8π, 8π] where 4π is the period of the function.

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 (-45°)

Select the answer that cannot be the value of sin

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 .

What is the frequency for the oscillation modeled by y = 9 cos Frequency is __________ cycles per second

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 amplitude and period of the sinusoidal function. Amplitude is ________ Period is _________

Find the exact value of sin Using the unit circle.

Find an equation of the graph.

Graph the function y = , over one period.

Graph the function y = over one period.

Find the exact value of csc 225° using the unit circle. Rationalize the denominator, if necessary.

Sketch the graph of the function over .

Body Temperature. The human body temperature normally fluctuates during the day. If a person's body temperature can be modeled by the formula T = 99.1 - 0.5sin Where x is the number of hours since midnight and T is in degrees Fahrenheit, the what is a person's temperature at 3:00 pm?

Graph the function y = , .

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 cos (-225°)

State the domain of the function. Y =

Match the graph of the function over one period to its equation.

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

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 (-210°)

Graph the function over the interval [-8π, 8π] where 4π is the period of the function.

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 (-45°)

Select the answer that cannot be the value of sin

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 .

What is the frequency for the oscillation modeled by y = 9 cos Frequency is __________ cycles per second

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 amplitude and period of the sinusoidal function. Amplitude is Period is _