Question 1

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

Accepted Answer

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

Question 2

Evaluate the trigonometric function using its period as an aid. ​
Cos 8π
​

Accepted Answer

A) cos 8π = -8 
B) cos 8π = 0 
C) cos 8π = 8 
D) cos 8π = ∞ 
E) cos 8π = 1 
A) cos 8π = -8 
B) cos 8π = 0 
C) cos 8π = 8 
D) cos 8π = ∞ 
E) cos 8π = 1

Question 3

Find (if possible) the supplement of   .

Accepted Answer

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

Question 4

Use the value of the trigonometric function to find   . ​   ​

Accepted Answer

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

Question 5

A sprinkler on a golf green is set to spray water over a distance of 12 meters and to rotate through an angle of 130°.Find the area of the region.Round your answer to two decimal places. ​

Accepted Answer

A) A ≈ 163.36 square meters 
B) A ≈ 165.66 square meters 
C) A ≈ 161.26 square meters 
D) A ≈ 326.73 square meters 
E) A ≈ 27.23 square meters 
A) A ≈ 163.36 square meters 
B) A ≈ 165.66 square meters 
C) A ≈ 161.26 square meters 
D) A ≈ 326.73 square meters 
E) A ≈ 27.23 square meters

Question 6

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​
​sin 90° = 1, tan 90° = Not defined
Sin 0° and tan 0°
​

Accepted Answer

A) ​sin 0° = 0 and tan 0° = 0 
B) sin 0° = 1 and tan 0° = 1 
C) ​sin 0° = Not defined and tan 0° = Not defined 
D) ​sin 0° = Not defined and tan 0° = 1 
E) ​sin 0° = 1 and tan 0° = Not defined 
A) ​sin 0° = 0 and tan 0° = 0 
B) sin 0° = 1 and tan 0° = 1 
C) ​sin 0° = Not defined and tan 0° = Not defined 
D) ​sin 0° = Not defined and tan 0° = 1 
E) ​sin 0° = 1 and tan 0° = Not defined

Question 7

The daily consumption C (in gallons) of diesel fuel on a farm is modeled by ​   ,
​
Where t is the time (in days), with t = 1 corresponding to January 1.
Use a graphing utility to select the graph of the model.
​

Accepted Answer

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

Question 8

Rewrite -219.80° in radian measure.Round to three decimal places.

Accepted Answer

A) -0.767 
B) -0.691 
C) -0.460 
D) -0.575 
E) -3.836 
A) -0.767 
B) -0.691 
C) -0.460 
D) -0.575 
E) -3.836

Question 9

Find the reference angle   . ​   ​

Accepted Answer

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

Question 10

The sun is 20º above the horizon.Find the length of a shadow cast by a park statue that is 30 feet tall.Approximate the answer to two decimal places. ​

Accepted Answer

A) 82.42 ft 
B) 84.42 ft 
C) 85.42 ft 
D) 83.42 ft 
E) 86.42 ft 
A) 82.42 ft 
B) 84.42 ft 
C) 85.42 ft 
D) 83.42 ft 
E) 86.42 ft

Question 11

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​   ​
Cos θ
​

Accepted Answer

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

Question 12

A granular substance such as sand naturally settles into a cone-shaped pile when poured from a small aperture.Its height depends on the humidity and adhesion between granules.The angle of elevation of a pile, θ, is called the angle of repose.If the height of a pile of sand is 14 feet and its diameter is approximately 47 feet, determine the angle of repose.Round your answer to the nearest degree.

Accepted Answer

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

Question 13

N 24 E means 30 degrees north of east.
​

Accepted Answer

A) True 
 B)False

Use a graphing utility to select the graph of the function

Evaluate the trigonometric function using its period as an aid. Cos 8π

Find (if possible) the supplement of .

Use the value of the trigonometric function to find .

A sprinkler on a golf green is set to spray water over a distance of 12 meters and to rotate through an angle of 130°.Find the area of the region.Round your answer to two decimal places.

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sin 90° = 1, tan 90° = Not defined Sin 0° and tan 0°

The daily consumption C (in gallons) of diesel fuel on a farm is modeled by , Where t is the time (in days), with t = 1 corresponding to January 1. Use a graphing utility to select the graph of the model.

Rewrite -219.80° in radian measure.Round to three decimal places.

Find the reference angle .

The sun is 20º above the horizon.Find the length of a shadow cast by a park statue that is 30 feet tall.Approximate the answer to two decimal places.

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. Cos θ

N 24 E means 30 degrees north of east.

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

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

Evaluate the trigonometric function using its period as an aid. ​ Cos 8π ​

Find (if possible) the supplement of .

Use the value of the trigonometric function to find . ​ ​

A sprinkler on a golf green is set to spray water over a distance of 12 meters and to rotate through an angle of 130°.Find the area of the region.Round your answer to two decimal places. ​

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​ ​sin 90° = 1, tan 90° = Not defined Sin 0° and tan 0° ​

The daily consumption C (in gallons) of diesel fuel on a farm is modeled by ​ , ​ Where t is the time (in days), with t = 1 corresponding to January 1. Use a graphing utility to select the graph of the model. ​

Rewrite -219.80° in radian measure.Round to three decimal places.

Find the reference angle . ​ ​

The sun is 20º above the horizon.Find the length of a shadow cast by a park statue that is 30 feet tall.Approximate the answer to two decimal places. ​

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​ ​ Cos θ ​

N 24 E means 30 degrees north of east. ​

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use a graphing utility to select the graph of the function

Evaluate the trigonometric function using its period as an aid. Cos 8π

Use the value of the trigonometric function to find .

A sprinkler on a golf green is set to spray water over a distance of 12 meters and to rotate through an angle of 130°.Find the area of the region.Round your answer to two decimal places.

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sin 90° = 1, tan 90° = Not defined Sin 0° and tan 0°

The daily consumption C (in gallons) of diesel fuel on a farm is modeled by , Where t is the time (in days), with t = 1 corresponding to January 1. Use a graphing utility to select the graph of the model.

Find the reference angle .

The sun is 20º above the horizon.Find the length of a shadow cast by a park statue that is 30 feet tall.Approximate the answer to two decimal places.

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. Cos θ

N 24 E means 30 degrees north of east.