Question 1

Evaluate the expression without using a calculator, and write your answer in radians.   ​

Accepted Answer

A) 0 
B)    
C)    
D)    
E)    
A) 0 
B)    
C)    
D)    
E)    B

Question 2

Match between columns
                        Premises: 11ebf5ef_bb87_f40f_95d1_4317f4a0b756_TBX9354_11

Accepted Answer

The Answer of sec x = -1 and cot x is...

Question 3

Use addition of y -coordinates to sketch the graph of the function between    and    .   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​   A

Question 4

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​
​  
​

Accepted Answer

A)    
B) ​   
C) ​   
D) ​   
E) ​   
A)    
B) ​   
C) ​   
D) ​   
E) ​

Question 5

Evaluate the expression without using a calculator, and write your answer in radians.

Accepted Answer

The answer of Evaluate the expression without using a calculator,...

Question 6

Simplify   if     for some real number   x . ​ ​

Accepted Answer

A)    
B)    
C)    ​ 
D)    
E)    
A)    
B)    
C)    ​ 
D)    
E)

Question 7

Graph one complete cycle of   . Label the axes accurately. ​

Accepted Answer

A) ​   
B) ​   
C) ​ ​   
D) ​ ​   
E) ​ ​   
A) ​   
B) ​   
C) ​ ​   
D) ​ ​   
E) ​ ​

Question 8

Identify the graph of the function ​   ​

Accepted Answer

A) ​   ​
Period = 8 
B) ​      Period = 8 
C) ​   ​
Period = 8 
D) ​   ​
Period = 8 
E) ​   ​
Period = 8 
A) ​   ​
Period = 8 
B) ​      Period = 8 
C) ​   ​
Period = 8 
D) ​   ​
Period = 8 
E) ​   ​
Period = 8

Question 9

Identify the graph of the function   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 10

Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​ ​   ​

Accepted Answer

A) ​ ​   
B) ​   
C) ​ ​   
D) ​ ​   
E) ​ ​   
A) ​ ​   
B) ​   
C) ​ ​   
D) ​ ​   
E) ​ ​

Question 11

Give the amplitude and period of the graph.

Accepted Answer

A) Amplitude = 3, period = 4 π . 
B) Amplitude = 4, period =   . 
C) Amplitude = 4, period = 4 π . 
D) Amplitude = 3, period = 8 π . 
E) Amplitude = 4, period = 8 π . 
A) Amplitude = 3, period = 4 π . 
B) Amplitude = 4, period =   . 
C) Amplitude = 4, period = 4 π . 
D) Amplitude = 3, period = 8 π . 
E) Amplitude = 4, period = 8 π .

Question 12

Use addition of y -coordinates to sketch the graph of the function between    and   .   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 13

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.

Accepted Answer

The answer of The graph below is one complete cycle...

Question 14

Identify the graph of the function ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 15

Identify the graph of the function   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 16

Identify the graph of the function ​   ​

Accepted Answer

A) ​ ​     
B) ​     
C) ​       
D) ​       
E) ​       
A) ​ ​     
B) ​     
C) ​       
D) ​       
E) ​

Question 17

Use your graphing calculator to graph the pair of functions for    together on a single coordinate system. (Make sure your calculator is set to radian mode.)   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 18

Evaluate the expression without using a calculator, and write your answer in radians.

Accepted Answer

The answer of Evaluate the expression without using a calculator,...

Question 19

Evaluate without using a calculator.   ​

Accepted Answer

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

Question 20

Simplify   if   for some real number x .

Accepted Answer

The answer of Simplify   if   for...

Evaluate the expression without using a calculator, and write your answer in radians.

Use addition of y -coordinates to sketch the graph of the function between and .

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.

Evaluate the expression without using a calculator, and write your answer in radians.

Simplify if for some real number x .

Graph one complete cycle of . Label the axes accurately.

Identify the graph of the function

Identify the graph of the function

Use your graphing calculator to graph the function between and . Show the graph of , , and . (Make sure your calculator is set to radian mode.)

Give the amplitude and period of the graph.

Use addition of y -coordinates to sketch the graph of the function between and .

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.

Identify the graph of the function

Identify the graph of the function

Identify the graph of the function

Use your graphing calculator to graph the pair of functions for together on a single coordinate system. (Make sure your calculator is set to radian mode.)

Evaluate the expression without using a calculator, and write your answer in radians.

Evaluate without using a calculator.

Simplify if for some real number x .

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Exam 4: Graphing and Inverse Functions

Evaluate the expression without using a calculator, and write your answer in radians. ​

Use addition of y -coordinates to sketch the graph of the function between and . ​

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. ​ ​ ​

Evaluate the expression without using a calculator, and write your answer in radians.

Simplify if for some real number x . ​ ​

Graph one complete cycle of . Label the axes accurately. ​

Identify the graph of the function ​ ​

Identify the graph of the function ​

Use your graphing calculator to graph the function between and . Show the graph of , , and . (Make sure your calculator is set to radian mode.)​ ​ ​

Give the amplitude and period of the graph.

Use addition of y -coordinates to sketch the graph of the function between and . ​

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.

Identify the graph of the function ​ ​

Identify the graph of the function ​

Identify the graph of the function ​ ​

Use your graphing calculator to graph the pair of functions for together on a single coordinate system. (Make sure your calculator is set to radian mode.) ​

Evaluate the expression without using a calculator, and write your answer in radians.

Evaluate without using a calculator. ​

Simplify if for some real number x .

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Evaluate the expression without using a calculator, and write your answer in radians.

Use addition of y -coordinates to sketch the graph of the function between and .

The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.

Simplify if for some real number x .

Graph one complete cycle of . Label the axes accurately.

Identify the graph of the function

Identify the graph of the function

Use your graphing calculator to graph the function between and . Show the graph of , , and . (Make sure your calculator is set to radian mode.)

Use addition of y -coordinates to sketch the graph of the function between and .

Identify the graph of the function

Identify the graph of the function

Identify the graph of the function

Use your graphing calculator to graph the pair of functions for together on a single coordinate system. (Make sure your calculator is set to radian mode.)

Evaluate without using a calculator.