Question 1

Evaluate each function.Round your answers to four decimal places. ​
Cos17°36' and sin67°23'
​

Accepted Answer

A) 1.0032 and 0.9731 
B) 1.0532 and 1.0231 
C) 1.1532 and 1.1231 
D) 1.1032 and 1.0731 
E) 0.9532 and 0.9231 
A) 1.0032 and 0.9731 
B) 1.0532 and 1.0231 
C) 1.1532 and 1.1231 
D) 1.1032 and 1.0731 
E) 0.9532 and 0.9231

Question 2

Determine which of the graphs below represents ​
​   ​

Accepted Answer

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

Question 3

Determine whether the function below is even, odd, or neither. ​
F(x) = 0.8 cot x
​

Accepted Answer

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

Question 4

The displacement from equilibrium of an oscillating weight suspended by a spring is given by   , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when   .(Round your answers to two decimal places.)
​

Accepted Answer

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

Question 5

Evaluate (if possible) the sine, cosine, and tangent of the real number. ​   ​

Accepted Answer

A)    corresponds to the point   .   
B)    corresponds to the point   .​   ​ 
C)    corresponds to the point   .​   ​ 
D)    corresponds to the point   .​   ​ 
E) Not possible 
A)    corresponds to the point   .   
B)    corresponds to the point   .​   ​ 
C)    corresponds to the point   .​   ​ 
D)    corresponds to the point   .​   ​ 
E) Not possible

Question 6

The angle of elevation of the sun is 26o.Find the length, l, of a shadow cast by a tree that is 38 feet tall.Round your answer to two decimal places.

Accepted Answer

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

Question 7

After leaving the runway, a plane's angle of ascent is 17o and its speed is 278 feet per second.How many minutes will it take for the airplane to climb to a height of 11,500 feet? Round answer to two decimal places.

Accepted Answer

A) 0.69 minutes 
B) 2.36 minutes 
C) 0.72 minutes 
D) 1.25 minutes 
E) 1.81 minutes 
A) 0.69 minutes 
B) 2.36 minutes 
C) 0.72 minutes 
D) 1.25 minutes 
E) 1.81 minutes

Question 8

The current I (in amperes) when 100 volts is applied to a circuit is given by ​   ​
Where t is the time (in seconds) after the voltage is applied.Approximate the current at
T = 0.8 second after the voltage is applied.(Round your answers to two decimal places.)
​

Accepted Answer

A) 1.12 ampere 
B) 1.02 ampere 
C) 0.72 ampere 
D) 0.82 ampere 
E) 0.92 ampere 
A) 1.12 ampere 
B) 1.02 ampere 
C) 0.72 ampere 
D) 0.82 ampere 
E) 0.92 ampere

Question 9

State the period of the function: ​   ​

Accepted Answer

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

Question 10

Find the point (x, y) on the unit circle that corresponds to the real number t. ​   ​

Accepted Answer

A)    corresponds to the point   . 
B)    corresponds to the point   . 
C)    corresponds to the point   . 
D)    corresponds to the point   . 
E)    corresponds to the point   . 
A)    corresponds to the point   . 
B)    corresponds to the point   . 
C)    corresponds to the point   . 
D)    corresponds to the point   . 
E)    corresponds to the point   .

Question 11

Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t. ​   ​   ​

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Determine the quadrant in which an angle with measure 114° lies.

Accepted Answer

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

Question 14

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 15

A security car with its spotlight on is parked   meters from a warehouse.Consider θ and x as shown in the figure.Write θ as a function of x. ​   ​

Accepted Answer

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

Question 16

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

Accepted Answer

A) Complement:   
B) Complement:   
C) Complement:   
D) Complement:   
E) Complement:   
A) Complement:   
B) Complement:   
C) Complement:   
D) Complement:   
E) Complement:

Question 17

Find the point (x, y) on the unit circle that corresponds to the real number t.(Round your answer to one decimal place.) ​   ​

Accepted Answer

A)    corresponds to the point   . 
B)    corresponds to the point   . 
C)    corresponds to the point   . 
D)    corresponds to the point   . 
E)    corresponds to the point   . 
A)    corresponds to the point   . 
B)    corresponds to the point   . 
C)    corresponds to the point   . 
D)    corresponds to the point   . 
E)    corresponds to the point   .

Question 18

Use a graphing utility to select the graph of the function.Include two full periods. ​
Y = -2 sin (2x + π)
​

Accepted Answer

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

Question 19

A police department has set up a speed enforcement zone on a straight length of highway.A patrol car is parked parallel to the zone, a = 210 feet from one end and b = 130 feet from the other end (see figure). ​   ​
Find the length l of the zone.Round your answer to two decimal places.
​

Accepted Answer

A) 286.98 ft 
B) 276.98 ft 
C) 266.98 ft 
D) 246.98 ft 
E) 256.98 ft 
A) 286.98 ft 
B) 276.98 ft 
C) 266.98 ft 
D) 246.98 ft 
E) 256.98 ft

Question 20

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.
What is the period of the model?
​

Accepted Answer

A) 31 days 
B) 22 days 
C) 183 days 
D) 365 days 
E) 30 days 
A) 31 days 
B) 22 days 
C) 183 days 
D) 365 days 
E) 30 days

Evaluate each function.Round your answers to four decimal places. Cos17°36' and sin67°23'

Determine which of the graphs below represents

Determine whether the function below is even, odd, or neither. F(x) = 0.8 cot x

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when .(Round your answers to two decimal places.)

Evaluate (if possible) the sine, cosine, and tangent of the real number.

The angle of elevation of the sun is 26^o.Find the length, l, of a shadow cast by a tree that is 38 feet tall.Round your answer to two decimal places.

After leaving the runway, a plane's angle of ascent is 17^o and its speed is 278 feet per second.How many minutes will it take for the airplane to climb to a height of 11,500 feet? Round answer to two decimal places.

The current I (in amperes) when 100 volts is applied to a circuit is given by Where t is the time (in seconds) after the voltage is applied.Approximate the current at T = 0.8 second after the voltage is applied.(Round your answers to two decimal places.)

State the period of the function:

Find the point (x, y) on the unit circle that corresponds to the real number t.

Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t.

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

Determine the quadrant in which an angle with measure 114° lies.

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

A security car with its spotlight on is parked meters from a warehouse.Consider θ and x as shown in the figure.Write θ as a function of x.

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

Find the point (x, y) on the unit circle that corresponds to the real number t.(Round your answer to one decimal place.)

Use a graphing utility to select the graph of the function.Include two full periods. Y = -2 sin (2x + π)

A police department has set up a speed enforcement zone on a straight length of highway.A patrol car is parked parallel to the zone, a = 210 feet from one end and b = 130 feet from the other end (see figure). Find the length l of the zone.Round your answer to two decimal places.

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. What is the period of the model?

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

Evaluate each function.Round your answers to four decimal places. ​ Cos17°36' and sin67°23' ​

Determine which of the graphs below represents ​ ​ ​

Determine whether the function below is even, odd, or neither. ​ F(x) = 0.8 cot x ​

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when .(Round your answers to two decimal places.) ​

Evaluate (if possible) the sine, cosine, and tangent of the real number. ​ ​

The angle of elevation of the sun is 26o.Find the length, l, of a shadow cast by a tree that is 38 feet tall.Round your answer to two decimal places.

After leaving the runway, a plane's angle of ascent is 17o and its speed is 278 feet per second.How many minutes will it take for the airplane to climb to a height of 11,500 feet? Round answer to two decimal places.

The current I (in amperes) when 100 volts is applied to a circuit is given by ​ ​ Where t is the time (in seconds) after the voltage is applied.Approximate the current at T = 0.8 second after the voltage is applied.(Round your answers to two decimal places.) ​

State the period of the function: ​ ​

Find the point (x, y) on the unit circle that corresponds to the real number t. ​ ​

Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t. ​ ​ ​

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

Determine the quadrant in which an angle with measure 114° lies.

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

A security car with its spotlight on is parked meters from a warehouse.Consider θ and x as shown in the figure.Write θ as a function of x. ​ ​

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

Find the point (x, y) on the unit circle that corresponds to the real number t.(Round your answer to one decimal place.) ​ ​

Use a graphing utility to select the graph of the function.Include two full periods. ​ Y = -2 sin (2x + π) ​

A police department has set up a speed enforcement zone on a straight length of highway.A patrol car is parked parallel to the zone, a = 210 feet from one end and b = 130 feet from the other end (see figure). ​ ​ Find the length l of the zone.Round your answer to two decimal places. ​

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. What is the period of the model? ​

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Evaluate each function.Round your answers to four decimal places. Cos17°36' and sin67°23'

Determine which of the graphs below represents

Determine whether the function below is even, odd, or neither. F(x) = 0.8 cot x

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement (in feet) and t is the time (in seconds).Find the displacements when .(Round your answers to two decimal places.)

Evaluate (if possible) the sine, cosine, and tangent of the real number.

The angle of elevation of the sun is 26^o.Find the length, l, of a shadow cast by a tree that is 38 feet tall.Round your answer to two decimal places.

After leaving the runway, a plane's angle of ascent is 17^o and its speed is 278 feet per second.How many minutes will it take for the airplane to climb to a height of 11,500 feet? Round answer to two decimal places.

The current I (in amperes) when 100 volts is applied to a circuit is given by Where t is the time (in seconds) after the voltage is applied.Approximate the current at T = 0.8 second after the voltage is applied.(Round your answers to two decimal places.)

State the period of the function:

Find the point (x, y) on the unit circle that corresponds to the real number t.

Find the exact values of the three trigonometric functions sine, cosine, tangent of the real number t.

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

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

A security car with its spotlight on is parked meters from a warehouse.Consider θ and x as shown in the figure.Write θ as a function of x.

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

Find the point (x, y) on the unit circle that corresponds to the real number t.(Round your answer to one decimal place.)

Use a graphing utility to select the graph of the function.Include two full periods. Y = -2 sin (2x + π)

A police department has set up a speed enforcement zone on a straight length of highway.A patrol car is parked parallel to the zone, a = 210 feet from one end and b = 130 feet from the other end (see figure). Find the length l of the zone.Round your answer to two decimal places.

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. What is the period of the model?