Question 1

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

Accepted Answer

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

Question 2

When tuning a piano, a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by ​
Y = 0.001 sin 850πt,
​
Where t is the time (in seconds).
​
The frequency is given by f = 1 / p.What is the frequency of the note?
​

Accepted Answer

A) 85 cycles/sec 
B)    cycles/sec 
C)    cycles/sec 
D) 850 cycles/sec 
E) 425 cycles/sec 
A) 85 cycles/sec 
B)    cycles/sec 
C)    cycles/sec 
D) 850 cycles/sec 
E) 425 cycles/sec

Question 3

Find the angle, in radians, in the figure below if S = 13 and r = 5.

Accepted Answer

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

Question 4

Find the period and amplitude. ​   ​

Accepted Answer

A) Period: 1; Amplitude:   
B) Period: π; Amplitude:   
C) Period: 2π; Amplitude: 1 
D) Period:   ; Amplitude:   
E) Period: π; Amplitude: 5 
A) Period: 1; Amplitude:   
B) Period: π; Amplitude:   
C) Period: 2π; Amplitude: 1 
D) Period:   ; Amplitude:   
E) Period: π; Amplitude: 5

Question 5

Find the value of given trigonometric function.Round your answer to four decimal places. ​   ​

Accepted Answer

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

Question 6

Convert the angle measure from degrees to radians.Round your answer to three decimal places. ​
90°
​

Accepted Answer

A) 90° ≈ 1.471 radians 
B) 90° ≈ 9.549 radians 
C) 90° ≈ 0.090 radian 
D) 90° ≈ 1.871 radians 
E) 90° ≈ 1.571 radians 
A) 90° ≈ 1.471 radians 
B) 90° ≈ 9.549 radians 
C) 90° ≈ 0.090 radian 
D) 90° ≈ 1.871 radians 
E) 90° ≈ 1.571 radians

Question 7

State the quadrant in which θ lies if    0​.

Accepted Answer

A) Quadrant II 
B) Quadrant IV 
C) Quadrant I 
D) Quadrant III 
A) Quadrant II 
B) Quadrant IV 
C) Quadrant I 
D) Quadrant III

Question 8

Find the exact value of   .

Accepted Answer

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

Question 9

The point   is on the terminal side of an angle in standard position.Determine the exact value of   .

Accepted Answer

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

Question 10

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

Accepted Answer

A) 17.3432 
B) 17.8432 
C) 6.2599 
D) 13.8154 
E) 5.5099 
A) 17.3432 
B) 17.8432 
C) 6.2599 
D) 13.8154 
E) 5.5099

Question 11

Solve the right triangle shown in the figure for all unknown sides and angles.Round your answers to two decimal places. ​   ​
​   ​

Accepted Answer

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

Question 12

If   and   , determine the value of A.Round to two decimal places.

Accepted Answer

A) 48.19o ​ 
B) 56.31o ​ 
C) 33.69o ​ 
D) 41.81o ​ 
E) 53.19o ​ 
A) 48.19o ​ 
B) 56.31o ​ 
C) 33.69o ​ 
D) 41.81o ​ 
E) 53.19o ​

Question 13

Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)   ​

Accepted Answer

A) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
B) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
C) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
D) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
E) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
A) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
B) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
C) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
D) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​ 
E) sin θ =   csc θ =  
Cos θ =  
Sec θ =  
Tan θ =  
Cot θ =  
​

Question 14

Find the values of the trigonometric functions sine and sec of θ with the given constraint. ​
Function Value
Constra int
Tan θ = -   sin θ > 0
​​

Accepted Answer

A) sin θ = -   sec θ =   
B) sin θ =   sec θ = -   
C) sin θ =   sec θ = -   
D) sin θ =   sec θ =   
E) sin θ = -   sec θ = -   
A) sin θ = -   sec θ =   
B) sin θ =   sec θ = -   
C) sin θ =   sec θ = -   
D) sin θ =   sec θ =   
E) sin θ = -   sec θ = -

Question 15

Convert the angle measure from radians to degrees.Round to three decimal places. ​
-6
​

Accepted Answer

A) -6 ≈ -354.075° 
B) -6 ≈ -349.175° 
C) -6 ≈ -343.775° 
D) -6 ≈ -333.275° 
E) -6 ≈ -338.175° 
A) -6 ≈ -354.075° 
B) -6 ≈ -349.175° 
C) -6 ≈ -343.775° 
D) -6 ≈ -333.275° 
E) -6 ≈ -338.175°

Question 16

Find the complement of the following angle. ​
14°
​

Accepted Answer

A) Complement: 242° 
B) Complement: 14° 
C) Complement: 76° 
D) Complement: 166° 
E) Complement: 77° 
A) Complement: 242° 
B) Complement: 14° 
C) Complement: 76° 
D) Complement: 166° 
E) Complement: 77°

Question 17

Find a, b, and c for the function f(x) = a cos (bx - c) such that the graph of f(x) matches the graph below.

Accepted Answer

A) a = -2; b = -1; c=   
B) a = 4; b = 1; c = π 
C) a = 1; b = 2; c = -1 
D) a = 2; b = 1; c = -π 
E) a = 2; b = 1; c =   π 
A) a = -2; b = -1; c=   
B) a = 4; b = 1; c = π 
C) a = 1; b = 2; c = -1 
D) a = 2; b = 1; c = -π 
E) a = 2; b = 1; c =   π

Question 18

A ladder 17 feet long leans against the side of a house.Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80º.Approximate the answer to one decimal place. ​

Accepted Answer

A) 19.7 ft 
B) 20.7 ft 
C) 18.7 ft 
D) 16.7 ft 
E) 17.7 ft 
A) 19.7 ft 
B) 20.7 ft 
C) 18.7 ft 
D) 16.7 ft 
E) 17.7 ft

Question 19

Which of the following functions is represented by the graph below?

Accepted Answer

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

Question 20

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

Accepted Answer

A) 2.20 
B) 0.20 
C) 3.20 
D) -0.80 
E) 1.20 
A) 2.20 
B) 0.20 
C) 3.20 
D) -0.80 
E) 1.20

Use the value of the trigonometric function to find .

When tuning a piano, a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by Y = 0.001 sin 850πt, Where t is the time (in seconds). The frequency is given by f = 1 / p.What is the frequency of the note?

Find the angle, in radians, in the figure below if S = 13 and r = 5.

Find the period and amplitude.

Find the value of given trigonometric function.Round your answer to four decimal places.

Convert the angle measure from degrees to radians.Round your answer to three decimal places. 90°

State the quadrant in which θ lies if < 0 and > 0.

Find the exact value of .

The point is on the terminal side of an angle in standard position.Determine the exact value of .

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

Solve the right triangle shown in the figure for all unknown sides and angles.Round your answers to two decimal places.

If and , determine the value of A.Round to two decimal places.

Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)

Find the values of the trigonometric functions sine and sec of θ with the given constraint. Function Value Constra int Tan θ = - sin θ > 0

Convert the angle measure from radians to degrees.Round to three decimal places. -6

Find the complement of the following angle. 14°

Find a, b, and c for the function f(x) = a cos (bx - c) such that the graph of f(x) matches the graph below.

A ladder 17 feet long leans against the side of a house.Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80º.Approximate the answer to one decimal place.

Which of the following functions is represented by the graph below?

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

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

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

When tuning a piano, a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by ​ Y = 0.001 sin 850πt, ​ Where t is the time (in seconds). ​ The frequency is given by f = 1 / p.What is the frequency of the note? ​

Find the angle, in radians, in the figure below if S = 13 and r = 5.

Find the period and amplitude. ​ ​

Find the value of given trigonometric function.Round your answer to four decimal places. ​ ​

Convert the angle measure from degrees to radians.Round your answer to three decimal places. ​ 90° ​

State the quadrant in which θ lies if < 0 and > 0​.

Find the exact value of .

The point is on the terminal side of an angle in standard position.Determine the exact value of .

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

Solve the right triangle shown in the figure for all unknown sides and angles.Round your answers to two decimal places. ​ ​ ​ ​

If and , determine the value of A.Round to two decimal places.

Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.) ​

Find the values of the trigonometric functions sine and sec of θ with the given constraint. ​ Function Value Constra int Tan θ = - sin θ > 0 ​​

Convert the angle measure from radians to degrees.Round to three decimal places. ​ -6 ​

Find the complement of the following angle. ​ 14° ​

Find a, b, and c for the function f(x) = a cos (bx - c) such that the graph of f(x) matches the graph below.

A ladder 17 feet long leans against the side of a house.Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80º.Approximate the answer to one decimal place. ​

Which of the following functions is represented by the graph below?

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

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use the value of the trigonometric function to find .

When tuning a piano, a technician strikes a tuning fork for the A above middle C and sets up a wave motion that can be approximated by Y = 0.001 sin 850πt, Where t is the time (in seconds). The frequency is given by f = 1 / p.What is the frequency of the note?

Find the period and amplitude.

Find the value of given trigonometric function.Round your answer to four decimal places.

Convert the angle measure from degrees to radians.Round your answer to three decimal places. 90°

State the quadrant in which θ lies if < 0 and > 0.

Solve the right triangle shown in the figure for all unknown sides and angles.Round your answers to two decimal places.

Find the exact values of the six trigonometric functions of the angle θ shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle.)

Find the values of the trigonometric functions sine and sec of θ with the given constraint. Function Value Constra int Tan θ = - sin θ > 0

Convert the angle measure from radians to degrees.Round to three decimal places. -6

Find the complement of the following angle. 14°

A ladder 17 feet long leans against the side of a house.Find the height from the top of the ladder to the ground if the angle of elevation of the ladder is 80º.Approximate the answer to one decimal place.

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