Question 1

Sketch the graph of the function 
   
over
   
.

Accepted Answer

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

Question 2

State the domain of the function.
Y = tan

Accepted Answer

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

Question 3

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 11:00 pm? Round your answer to two decimal places.

Accepted Answer

The answer of Body Temperature. The human body temperature normally...

Question 4

Use the unit circle to find all the exact values of θ that make cotθ = 
   
in the interval

Accepted Answer

The answer of Use the unit circle to find all...

Question 5

State the domain and range of the function.
Y = cot

Accepted Answer

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

Question 6

State the domain of the function.
Y =

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

Sketch the graph of the function 
   
, over the interval
   
.

Accepted Answer

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

Question 10

Graph the function y = 
   
, over one period.

Accepted Answer

The answer of Graph the function y = 
 ...

Question 11

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

Accepted Answer

A)  Amplitude = 2; period = 2 $\pi$; phase shift =   
B)  Amplitude = 2; period = 2; phase shift =   
C)  Amplitude = 2; period = 2 $\pi$; phase shift =   
D)  Amplitude = 2; period = 2, phase shift =   
A)  Amplitude = 2; period = 2 $\pi$; phase shift =   
B)  Amplitude = 2; period = 2; phase shift =   
C)  Amplitude = 2; period = 2 $\pi$; phase shift =   
D)  Amplitude = 2; period = 2, phase shift =

Question 12

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 harmonic 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

Amplitude:

Question 13

Graph the function y = 
   
, over one period.

Accepted Answer

The answer of Graph the function y = 
 ...

Question 14

Sketch the graph of the function 
   
over

Accepted Answer

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

Question 15

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

Accepted Answer

Amplitude

Question 16

A lighthouse is located on a small island 3 miles offshore. If the length of light beam is determined by y = 3|sec  $\pi$t | miles. Find the length of the beam at t = 
   
. Round to nearest tenth of a mile.

Accepted Answer

The answer of A lighthouse is located on a small...

Question 17

Match the graph of the function to its equation.

Accepted Answer

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

Question 18

Match the graph of the cosine function to the equation over

Accepted Answer

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

Question 19

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 June 7th, assuming it is not a leap year? Round your answer to one decimal place.

Accepted Answer

A)  62.1° 
B)  66.2° 
C)  68.5° 
D)  70.1° 
A)  62.1° 
B)  66.2° 
C)  68.5° 
D)  70.1°

Question 20

Graph the function 
   
over the interval [-1.3, 1.3] where 0.7 is the period of the function.

Accepted Answer

The answer of Graph the function 
   
over...

Sketch the graph of the function over .

State the domain of the function. Y = tan

Use the unit circle to find all the exact values of θ that make cotθ = in the interval

State the domain and range of the function. Y = cot

State the domain of the function. Y =

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

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

Sketch the graph of the function , over the interval .

Graph the function y = , over one period.

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

Graph the function y = , over one period.

Sketch the graph of the function over

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

Match the graph of the function to its equation.

Match the graph of the cosine function to the equation over

Graph the function over the interval [-1.3, 1.3] where 0.7 is the period of the function.

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

Sketch the graph of the function over .

State the domain of the function. Y = tan

Use the unit circle to find all the exact values of θ that make cotθ = in the interval

State the domain and range of the function. Y = cot

State the domain of the function. Y =

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

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

Sketch the graph of the function , over the interval .

Graph the function y = , over one period.

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

Graph the function y = , over one period.

Sketch the graph of the function over

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

A lighthouse is located on a small island 3 miles offshore. If the length of light beam is determined by y = 3|sec π\piπ t | miles. Find the length of the beam at t = . Round to nearest tenth of a mile.

Match the graph of the function to its equation.

Match the graph of the cosine function to the equation over

Graph the function over the interval [-1.3, 1.3] where 0.7 is the period of the function.

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