Question 1

Evaluate the expression.Round your result to two decimal places. ​   ​

Accepted Answer

A) 4.21 
B) 2.21 
C) 3.21 
D) 0.21 
E) 1.21 
A) 4.21 
B) 2.21 
C) 3.21 
D) 0.21 
E) 1.21

Question 2

The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement in centimeters and t is the time in seconds.Find the displacement when   , rounding your answer to four decimal places. ​

Accepted Answer

A) 2.2693 cm 
B) -3.3563 cm 
C) -0.7275 cm 
D) -6.5364 cm 
E) 10.0903 cm 
A) 2.2693 cm 
B) -3.3563 cm 
C) -0.7275 cm 
D) -6.5364 cm 
E) 10.0903 cm

Question 3

For the simple harmonic motion described by the trigonometric function, find the maximum displacement. ​   ​

Accepted Answer

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

Question 4

Use a graphing utility to select the graph of the function: ​   ​

Accepted Answer

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

Question 5

Use a graphing utility to graph the function below. ​   ​
Π       -π
Π       -π

Accepted Answer

A) π​     -π​ 
B) π​     -π​ 
C) ​ π​     -π​ 
D) π​     -π​ 
E) π​     -π​ 
A) π​     -π​ 
B) π​     -π​ 
C) ​ π​     -π​ 
D) π​     -π​ 
E) π​     -π​

Question 6

Select the graph of the function.(Include two full periods.) ​   ​

Accepted Answer

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

Question 7

Determine the exact value of   .

Accepted Answer

A)    
B)    
C)    
D) 1 
E) -1 
A)    
B)    
C)    
D) 1 
E) -1

Question 8

Select the graph of the function below.Include two full periods. ​   ​

Accepted Answer

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

Question 9

Find the supplement of the following angle. ​
148°
​

Accepted Answer

A) Supplement: 212° 
B) Supplement: 148° 
C) Supplement: 32° 
D) Supplement: 58° 
E) Supplement: 33 
A) Supplement: 212° 
B) Supplement: 148° 
C) Supplement: 32° 
D) Supplement: 58° 
E) Supplement: 33

Question 10

Find the quadrant in which the given angle lies. ​
-128° 50'
​

Accepted Answer

A) Quadrant III 
B) Quadrant I 
C) Quadrant IV 
D) Quadrant II 
E) None of the above 
A) Quadrant III 
B) Quadrant I 
C) Quadrant IV 
D) Quadrant II 
E) None of the above

Question 11

Use a calculator to evaluate   .Round your answer to four decimal places.

Accepted Answer

A) -0.9589 
B) 0.0872 
C) -0.4128 
D) -0.4282 
E) -1.7089 
A) -0.9589 
B) 0.0872 
C) -0.4128 
D) -0.4282 
E) -1.7089

Question 12

A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26.

Accepted Answer

A) d = 26tan x 
B) d = 26sec x 
C) d = 26cos x 
D) d = 26cot x 
E) d = 26sin x 
A) d = 26tan x 
B) d = 26sec x 
C) d = 26cos x 
D) d = 26cot x 
E) d = 26sin x

Question 13

Find (if possible) the complement of   .

Accepted Answer

A)    
B)    
C)    
D) ​   
E) not possible 
A)    
B)    
C)    
D) ​   
E) not possible

Question 14

Use an inverse function to write θ as a function of x.

Accepted Answer

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

Question 15

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by ​   ,
​
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0.)
​
Find the number of cycles per minute.
​

Accepted Answer

A) 12 cycles/min 
B) 10 cycles/min 
C) 15 cycles/min 
D) 13 cycles/min 
E) 11 cycles/min 
A) 12 cycles/min 
B) 10 cycles/min 
C) 15 cycles/min 
D) 13 cycles/min 
E) 11 cycles/min

Question 16

Evaluate   without using a calculator.

Accepted Answer

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

Question 17

Select the graph of the function below.Include two full periods. ​   ​

Accepted Answer

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

Question 18

Find angle -20° in radian measure as a multiple of π. ​

Accepted Answer

A) 9π 
B)    
C)    
D)    
E)    
A) 9π 
B)    
C)    
D)    
E)

Question 19

Find angle   in degree measure. ​

Accepted Answer

A) 15° 
B) 10° 
C) 25° 
D) 20° 
E) 55° 
A) 15° 
B) 10° 
C) 25° 
D) 20° 
E) 55°

Question 20

Convert the angle measure from radians to degrees.Round to three decimal places. ​   ​

Accepted Answer

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

Evaluate the expression.Round your result to two decimal places.

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds.Find the displacement when , rounding your answer to four decimal places.

For the simple harmonic motion described by the trigonometric function, find the maximum displacement.

Use a graphing utility to select the graph of the function:

Use a graphing utility to graph the function below. Π -π Π -π

Select the graph of the function.(Include two full periods.)

Determine the exact value of .

Select the graph of the function below.Include two full periods.

Find the supplement of the following angle. 148°

Find the quadrant in which the given angle lies. -128° 50'

Use a calculator to evaluate .Round your answer to four decimal places.

A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26.

Find (if possible) the complement of .

Use an inverse function to write θ as a function of x.

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by , Where t is the time (in seconds). (Inhalation occurs when v > 0 and exhalation occurs when v < 0.) Find the number of cycles per minute.

Evaluate without using a calculator.

Select the graph of the function below.Include two full periods.

Find angle -20° in radian measure as a multiple of π.

Find angle in degree measure.

Convert the angle measure from radians to degrees.Round to three decimal places.

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

Evaluate the expression.Round your result to two decimal places. ​ ​

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds.Find the displacement when , rounding your answer to four decimal places. ​

For the simple harmonic motion described by the trigonometric function, find the maximum displacement. ​ ​

Use a graphing utility to select the graph of the function: ​ ​

Use a graphing utility to graph the function below. ​ ​ Π -π Π -π

Select the graph of the function.(Include two full periods.) ​ ​

Determine the exact value of .

Select the graph of the function below.Include two full periods. ​ ​

Find the supplement of the following angle. ​ 148° ​

Find the quadrant in which the given angle lies. ​ -128° 50' ​

Use a calculator to evaluate .Round your answer to four decimal places.

A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26.

Find (if possible) the complement of .

Use an inverse function to write θ as a function of x.

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by ​ , ​ Where t is the time (in seconds). (Inhalation occurs when v > 0 and exhalation occurs when v < 0.) ​ Find the number of cycles per minute. ​

Evaluate without using a calculator.

Select the graph of the function below.Include two full periods. ​ ​

Find angle -20° in radian measure as a multiple of π. ​

Find angle in degree measure. ​

Convert the angle measure from radians to degrees.Round to three decimal places. ​ ​

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Evaluate the expression.Round your result to two decimal places.

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds.Find the displacement when , rounding your answer to four decimal places.

For the simple harmonic motion described by the trigonometric function, find the maximum displacement.

Use a graphing utility to select the graph of the function:

Use a graphing utility to graph the function below. Π -π Π -π

Select the graph of the function.(Include two full periods.)

Select the graph of the function below.Include two full periods.

Find the supplement of the following angle. 148°

Find the quadrant in which the given angle lies. -128° 50'

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by , Where t is the time (in seconds). (Inhalation occurs when v > 0 and exhalation occurs when v < 0.) Find the number of cycles per minute.

Select the graph of the function below.Include two full periods.

Find angle -20° in radian measure as a multiple of π.

Find angle in degree measure.

Convert the angle measure from radians to degrees.Round to three decimal places.