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) ​

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) ​

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) ​

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

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)

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) ​

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) ​

Question 11

Sketch the graph from   to  .  ​

Accepted Answer

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 =

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) ​

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) ​

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) ​

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...

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.

Match each value of x below with the letter of the corresponding function.

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.

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.

Match each value of x below with the letter of the corresponding function.

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.

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.