Question 1

Use the unit circle to find all the exact values of $\theta$that make cot$\theta$ =

In the interval

Accepted Answer

A)   
B)   
C)   
D)

Question 2

A weight hanging on a spring will oscillate up and down about its equilibrium position after it's pulled down and released. This is an example of simple hormonic motion. This motion would continue forever if there wasn't any friction or air resistance. Simple harmonic motion can be described with the function

Where A is the amplitude, t is the time in seconds, m is the mass and k is a constant particular to that spring. If a spring is measured in centimeters and the weight in grams, then what are the amplitude and mass if

Amplitude: _____cm.
Mass: ______ g.

Accepted Answer

A)  Amplitude: 5.5 cm.; mass:g.  
B)  Amplitude: 5.5 cm.; mass:g.  
C)  Amplitude: 30.25 cm.; mass:g.  
D)  Amplitude: 30.25 cm.; mass: 77.44 g.

Question 3

Find the exact value of tan

Using the unit circle.

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Find an equation of the graph.

Accepted Answer

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

Question 5

Find the exact value of cos
  
using the unit circle.

Accepted Answer

The answer of Find the exact value of cos
 ...

Question 6

State the domain and range of the function.
y = -7 sec (4 x)
Domain = __________
Range = ___________

Accepted Answer

The answer of State the domain and range of the...

Question 7

Select the answer that cannot be the value of cot

Accepted Answer

A)  0.5 
B)  39.31 
C)  2.23 
D)  All are possible values of cot.

Question 8

Match the graph of the sine function to the equation over

Accepted Answer

A)   
B)   
C)   
D)

Question 9

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 (-300°)

Accepted Answer

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

Question 10

Find the exact value of tan

Accepted Answer

The answer of Find the exact value of tan
 ...

Question 11

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

A)   
B)   
C)   
D)

Question 12

Find the exact value of sec

Using the unit circle. Rationalize the denominator, if necessary.

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Atmospheric Temperature. The average daily temperature in Peoria, Illinois, can be approximated by the equation  where x is the number of days since December 31 of the previous year (Ex: January 1, x = 1; Mar 1, x = 60), and T is in degrees Fahrenheit. What is the expected temperature on July 4th, assuming it is not a leap year? Round your answer to one decimal place.

Accepted Answer

The answer of Atmospheric Temperature. The average daily temperature in...

Question 14

Find an equation of the graph.

Accepted Answer

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

Question 15

Sketch the graph of the function 
  
,
  
.

Accepted Answer

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

Question 16

Sketch the graph of the function 
  
, over the interval
  
.

Accepted Answer

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

Question 17

Sketch the graph of the function 
  
,
  
.

Accepted Answer

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

Question 18

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

Accepted Answer

A)   
B)   
C)   
D)

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 cos

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Find an equation of the graph.

Accepted Answer

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

Exam 5: Trigonometric Functions of Real Numbers

Find the exact value of tan Using the unit circle.

Find an equation of the graph.

Find the exact value of cos using the unit circle.

State the domain and range of the function. y = -7 sec (4 x) Domain = Range = _

Select the answer that cannot be the value of cot

Match the graph of the sine function to the equation over

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 (-300°)

Find the exact value of tan

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

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

Find an equation of the graph.

Sketch the graph of the function , .

Sketch the graph of the function , over the interval .

Sketch the graph of the function , .

State the amplitude, period, and phase shift of 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

Find an equation of the graph.

Exam 5: Trigonometric Functions of Real Numbers

Use the unit circle to find all the exact values of θ\thetaθ that make cot θ\thetaθ = In the interval

Find the exact value of tan Using the unit circle.

Find an equation of the graph.

Find the exact value of cos using the unit circle.

State the domain and range of the function. y = -7 sec (4 x) Domain = __________ Range = ___________

Select the answer that cannot be the value of cot

Match the graph of the sine function to the equation over

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 (-300°)

Find the exact value of tan

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

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

Find an equation of the graph.

Sketch the graph of the function , .

Sketch the graph of the function , over the interval .

Sketch the graph of the function , .

State the amplitude, period, and phase shift of 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

Find an equation of the graph.

State the domain and range of the function. y = -7 sec (4 x) Domain = Range = _