Question 1

Use a graphing utility to select the graph of the function.Include two full periods. ​   ​

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Find the point   on the unit circle that corresponds to the real number   .Use your results to evaluate   .

Accepted Answer

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

Question 4

Find the area of the sector of the circle with radius 2 centimeters and central angle   .

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

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

Accepted Answer

A) 1.25 
B) 0.58 
C) 0.32 
D) 1.40 
E) 0.76 
A) 1.25 
B) 0.58 
C) 0.32 
D) 1.40 
E) 0.76

Question 7

Evaluate each function.Round your answers to four decimal places. ​
Csc3 and   ​

Accepted Answer

A) 7.0862 and 0.2027 
B) 7.1862 and 0.3027 
C) 7.2362 and 0.3527 
D) 7.1362 and 0.2527 
E) 7.2862 and 0.4027 
A) 7.0862 and 0.2027 
B) 7.1862 and 0.3027 
C) 7.2362 and 0.3527 
D) 7.1362 and 0.2527 
E) 7.2862 and 0.4027

Question 8

A guy wire runs from the ground to a cell tower.The wire is attached to the cell tower   feet above the ground.The angle formed between the wire and the ground is 43° (see figure).How long is the guy wire. ​
​   ​

Accepted Answer

A) 166.6 ft 
B) ​146.6 ft 
C) ​156.6 ft 
D) ​161.6 ft 
E) ​151.6 ft 
A) 166.6 ft 
B) ​146.6 ft 
C) ​156.6 ft 
D) ​161.6 ft 
E) ​151.6 ft

Question 9

Find (if possible) the supplement of the following angle. ​   ​

Accepted Answer

A) Supplement:   
B) Supplement:   
C) Supplement:   
D) Supplement:   
E) Supplement:   
A) Supplement:   
B) Supplement:   
C) Supplement:   
D) Supplement:   
E) Supplement:

Question 10

Determine whether the function below is even, odd, or neither. ​   ​

Accepted Answer

A) Even 
B) Odd 
C) Neither 
A) Even 
B) Odd 
C) Neither

Question 11

Describe the behavior of the function below as x approaches zero. ​   ​

Accepted Answer

A) f → 0 as x → 0. 
B) f → -1 as x → 0. 
C) f → 1 as x → 0. 
D) f → -∞ as x → 0. 
E) f → +∞ as x → 0. 
A) f → 0 as x → 0. 
B) f → -1 as x → 0. 
C) f → 1 as x → 0. 
D) f → -∞ as x → 0. 
E) f → +∞ as x → 0.

Question 12

A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level.What is the angle of depression from the top of the tower to a cell phone user who is 6 horizontal miles away and 400 feet above sea level? Round your answer to two decimal places. ​

Accepted Answer

A) 3.72º 
B) 1.72º 
C) 5.72º 
D) 4.72º 
E) 2.72º 
A) 3.72º 
B) 1.72º 
C) 5.72º 
D) 4.72º 
E) 2.72º

Question 13

Find a and d for the function f(x) = a sin x + d such that the graph of f(x) matches the graph below.

Accepted Answer

A) a = 2; d = -1 
B) a = 4; d = 1 
C) a = -2; d = 1 
D) a = 2; d = 2 
E) a = 4; d = -3 
A) a = 2; d = -1 
B) a = 4; d = 1 
C) a = -2; d = 1 
D) a = 2; d = 2 
E) a = 4; d = -3

Question 14

Find the quadrant in which the given angle lies. ​
-13°
​

Accepted Answer

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

Question 15

Determine the quadrant in which an angle, θ, lies if θ = 5.10 radians.

Accepted Answer

A) 1st quadrant 
B) 2nd quadrant 
C) 3rd quadrant 
D) 4th quadrant 
A) 1st quadrant 
B) 2nd quadrant 
C) 3rd quadrant 
D) 4th quadrant

Question 16

The projected monthly sales (in thousands of units) of lawn mowers (a seasonal product) are modeled by ​   ​
Where t is the time (in months), with t = 1 corresponding to January.Select the graph of the sales function over 1 year.
​

Accepted Answer

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

Question 17

For the simple harmonic motion described by the trigonometric function, find the frequency per second. ​   ​

Accepted Answer

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

Question 18

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. ​
Radius r
Central Angle θ
15 inches
​123°
​

Accepted Answer

A) s ≈ 32.20 inches 
B) s ≈ 15.68 inches 
C) s ≈ 10.25 inches 
D) s ≈ 34.20 inches 
E) s ≈ 30.20 inches 
A) s ≈ 32.20 inches 
B) s ≈ 15.68 inches 
C) s ≈ 10.25 inches 
D) s ≈ 34.20 inches 
E) s ≈ 30.20 inches

Question 19

Find the exact value of   .

Accepted Answer

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

Question 20

Convert angle measure to decimal degree form.Round your answer to three decimal places. ​
81° 19' 28''
​

Accepted Answer

A) 81° 19' 28'' ≈ 81.324° 
B) 81° 19' 28'' ≈ 81.193° 
C) 81° 19' 28'' ≈ 91.324° 
D) 81° 19' 28'' ≈ 128° 
E) 81° 19' 28'' ≈ 71.324° 
A) 81° 19' 28'' ≈ 81.324° 
B) 81° 19' 28'' ≈ 81.193° 
C) 81° 19' 28'' ≈ 91.324° 
D) 81° 19' 28'' ≈ 128° 
E) 81° 19' 28'' ≈ 71.324°

Use a graphing utility to select the graph of the function.Include two full periods.

Use the value of the trigonometric function to find .

Find the point on the unit circle that corresponds to the real number .Use your results to evaluate .

Find the area of the sector of the circle with radius 2 centimeters and central angle .

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

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

Evaluate each function.Round your answers to four decimal places. Csc3 and

A guy wire runs from the ground to a cell tower.The wire is attached to the cell tower feet above the ground.The angle formed between the wire and the ground is 43° (see figure).How long is the guy wire.

Find (if possible) the supplement of the following angle.

Determine whether the function below is even, odd, or neither.

Describe the behavior of the function below as x approaches zero.

A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level.What is the angle of depression from the top of the tower to a cell phone user who is 6 horizontal miles away and 400 feet above sea level? Round your answer to two decimal places.

Find a and d for the function f(x) = a sin x + d such that the graph of f(x) matches the graph below.

Find the quadrant in which the given angle lies. -13°

Determine the quadrant in which an angle, θ, lies if θ = 5.10 radians.

The projected monthly sales (in thousands of units) of lawn mowers (a seasonal product) are modeled by Where t is the time (in months), with t = 1 corresponding to January.Select the graph of the sales function over 1 year.

For the simple harmonic motion described by the trigonometric function, find the frequency per second.

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. Radius r Central Angle θ 15 inches 123°

Find the exact value of .

Convert angle measure to decimal degree form.Round your answer to three decimal places. 81° 19' 28''

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.Include two full periods. ​ ​

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

Find the point on the unit circle that corresponds to the real number .Use your results to evaluate .

Find the area of the sector of the circle with radius 2 centimeters and central angle .

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

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

Evaluate each function.Round your answers to four decimal places. ​ Csc3 and ​

A guy wire runs from the ground to a cell tower.The wire is attached to the cell tower feet above the ground.The angle formed between the wire and the ground is 43° (see figure).How long is the guy wire. ​ ​ ​

Find (if possible) the supplement of the following angle. ​ ​

Determine whether the function below is even, odd, or neither. ​ ​

Describe the behavior of the function below as x approaches zero. ​ ​

A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level.What is the angle of depression from the top of the tower to a cell phone user who is 6 horizontal miles away and 400 feet above sea level? Round your answer to two decimal places. ​

Find a and d for the function f(x) = a sin x + d such that the graph of f(x) matches the graph below.

Find the quadrant in which the given angle lies. ​ -13° ​

Determine the quadrant in which an angle, θ, lies if θ = 5.10 radians.

The projected monthly sales (in thousands of units) of lawn mowers (a seasonal product) are modeled by ​ ​ Where t is the time (in months), with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​

For the simple harmonic motion described by the trigonometric function, find the frequency per second. ​ ​

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. ​ Radius r Central Angle θ 15 inches ​123° ​

Find the exact value of .

Convert angle measure to decimal degree form.Round your answer to three decimal places. ​ 81° 19' 28'' ​

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.Include two full periods.

Use the value of the trigonometric function to find .

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

Evaluate each function.Round your answers to four decimal places. Csc3 and

A guy wire runs from the ground to a cell tower.The wire is attached to the cell tower feet above the ground.The angle formed between the wire and the ground is 43° (see figure).How long is the guy wire.

Find (if possible) the supplement of the following angle.

Determine whether the function below is even, odd, or neither.

Describe the behavior of the function below as x approaches zero.

A cellular telephone tower that is 150 feet tall is placed on top of a mountain that is 1200 feet above sea level.What is the angle of depression from the top of the tower to a cell phone user who is 6 horizontal miles away and 400 feet above sea level? Round your answer to two decimal places.

Find the quadrant in which the given angle lies. -13°

The projected monthly sales (in thousands of units) of lawn mowers (a seasonal product) are modeled by Where t is the time (in months), with t = 1 corresponding to January.Select the graph of the sales function over 1 year.

For the simple harmonic motion described by the trigonometric function, find the frequency per second.

Find the length of the arc on a circle of radius r intercepted by a central angle θ.Round to two decimal places. Radius r Central Angle θ 15 inches 123°

Convert angle measure to decimal degree form.Round your answer to three decimal places. 81° 19' 28''