Question 1

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 2

Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ ​

Accepted Answer

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

Question 3

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 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

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

Question 5

Match between columns
                        Premises: kπ

Accepted Answer

The Answer of tan x and cot x is...

Question 6

Simplify   if   . ​

Accepted Answer

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

Question 7

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 8

Evaluate without using a calculator.   ​

Accepted Answer

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

Question 9

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 10

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 11

Sketch the graph from    to   .   ​

Accepted Answer

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

Question 12

Identify the amplitude and phase shift for the equation.   ​

Accepted Answer

A) Amplitude = 4 Phase shift =    
B) Amplitude = 1 Phase shift =    
C) Amplitude = 5 Phase shift =    
D) Amplitude = 4 Phase shift =    
E) Amplitude = 1 Phase shift =    
A) Amplitude = 4 Phase shift =    
B) Amplitude = 1 Phase shift =    
C) Amplitude = 5 Phase shift =    
D) Amplitude = 4 Phase shift =    
E) Amplitude = 1 Phase shift =

Question 13

Evaluate without using a calculator.

Accepted Answer

The answer of Evaluate without using a calculator.  ...

Question 14

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 15

Identify the graph of the equation.   ​

Accepted Answer

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

Question 16

Graph    between -2 π  and 2 π , and then reflect the graph about the line y = x to obtain the graph of   . ​

Accepted Answer

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

Question 17

Use a calculator to evaluate the expression to the nearest tenth of a degree, if necessary.   ​ 
__________°

Accepted Answer

The answer of Use a calculator to evaluate the expression...

Question 18

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 19

​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 20

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...

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 the graph of the equation shown below to identify the graph of one complete cycle of the equation .

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.

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 .

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 without using a calculator.

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.

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.

Sketch the graph from to .

Identify the amplitude and phase shift for the equation.

Evaluate without using a calculator.

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 equation.

Graph between -2 π and 2 π , and then reflect the graph about the line y = x to obtain the graph of .

Use a calculator to evaluate the expression to the nearest tenth of a degree, if necessary. __________°

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

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.

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.

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

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 the graph of the equation shown below to identify the graph of one complete cycle of the equation . ​ ​

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. ​

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 . ​

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 without using a calculator. ​

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. ​

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. ​ ​

Sketch the graph from to . ​

Identify the amplitude and phase shift for the equation. ​

Evaluate without using a calculator.

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 equation. ​

Graph between -2 π and 2 π , and then reflect the graph about the line y = x to obtain the graph of . ​

Use a calculator to evaluate the expression to the nearest tenth of a degree, if necessary. ​ __________°

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

​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.

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.

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

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 the graph of the equation shown below to identify the graph of one complete cycle of the equation .

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 .

Evaluate without using a calculator.

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.

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.

Sketch the graph from to .

Identify the amplitude and phase shift for the equation.

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 equation.

Graph between -2 π and 2 π , and then reflect the graph about the line y = x to obtain the graph of .

Use a calculator to evaluate the expression to the nearest tenth of a degree, if necessary. __________°

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

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.