Question 1

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

Accepted Answer

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

Question 2

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​sin 30° =   , cos 30° =   ​
​sin 60° and cos 60°

Accepted Answer

A) ​sin 60° = 2 and cos 60° =   
B) ​sin 60° =   and cos 60° =   
C) ​sin 60° =   and cos 60° =   
D) ​sin 60° =   and cos 60° =   
E) ​sin 60° =   and cos 60° = 2 
A) ​sin 60° = 2 and cos 60° =   
B) ​sin 60° =   and cos 60° =   
C) ​sin 60° =   and cos 60° =   
D) ​sin 60° =   and cos 60° =   
E) ​sin 60° =   and cos 60° = 2

Question 3

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

Accepted Answer

A)    - 0.5000 
B)    0.6000 
C)    0.4000 
D)    0.7000 
E)    0.5000 
A)    - 0.5000 
B)    0.6000 
C)    0.4000 
D)    0.7000 
E)    0.5000

Question 4

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 5

Find the value of the expression.Round your result to two decimal places. ​   ​

Accepted Answer

A) -1.25​ 
B) 1.25 
C) 1.89 
D) 3.14 
E) -3.14 ​ 
A) -1.25​ 
B) 1.25 
C) 1.89 
D) 3.14 
E) -3.14 ​

Question 6

Evaluate the trigonometric function.Round your answer to four decimal places. ​
Tan ( -187°)
​

Accepted Answer

A) 0.8772 
B) 1.8772 
C) -0.1228 
D) 2.8772 
E) 0.3772 
A) 0.8772 
B) 1.8772 
C) -0.1228 
D) 2.8772 
E) 0.3772

Question 7

Describe the behavior of the function below as x approaches π-. ​   ​

Accepted Answer

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

Question 8

Find the exact values of the six trigonometric functions of the angle θ for 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 9

Determine the exact values of the three trigonometric functions sine, cosine, and tangent of the angle θ. ​   ​
Where   ​

Accepted Answer

A) sin θ = -   cos θ = -  
Tan θ =   
B) sin θ = -   cos θ = -  
Tan θ = -   
C) sin θ = -   cos θ = -  
Tan θ = -   
D) sin θ = -   cos θ = -  
Tan θ = -   
E) sin θ = -   cos θ = -  
Tan θ = -   
A) sin θ = -   cos θ = -  
Tan θ =   
B) sin θ = -   cos θ = -  
Tan θ = -   
C) sin θ = -   cos θ = -  
Tan θ = -   
D) sin θ = -   cos θ = -  
Tan θ = -   
E) sin θ = -   cos θ = -  
Tan θ = -

Question 10

Find the period and amplitude. ​
Y = 7 sin 40x
​

Accepted Answer

A) Period: π; Amplitude: -7 
B) Period: π; Amplitude:   
C) Period:   ; Amplitude:   
D) Period: 2π; Amplitude: 1 
E) Period:   ; Amplitude: 7 
A) Period: π; Amplitude: -7 
B) Period: π; Amplitude:   
C) Period:   ; Amplitude:   
D) Period: 2π; Amplitude: 1 
E) Period:   ; Amplitude: 7

Question 11

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. ​
Radius r
Arc Length s
80 kilometers
​145 kilometers
​

Accepted Answer

A) θ = ​6 radians 
B) θ =   radians 
C) θ =   radians 
D) θ =   radians 
E) θ = ​   radians 
A) θ = ​6 radians 
B) θ =   radians 
C) θ =   radians 
D) θ =   radians 
E) θ = ​   radians

Question 12

The designers of a water park are creating a new slide and have sketched some preliminary drawings.The length of the ladder is a = 24 feet, and its angle of elevation is 60º (see figure).
​   ​
Find the height of the slide.Round your answer to two decimal places.
​

Accepted Answer

A) About 21.78 ft 
B) About 22.78 ft 
C) About 23.78 ft 
D) About 20.78 ft 
E) About 24.78 ft 
A) About 21.78 ft 
B) About 22.78 ft 
C) About 23.78 ft 
D) About 20.78 ft 
E) About 24.78 ft

Question 13

For the simple harmonic motion described by the trigonometric function, find the least positive value of t for which d = 0. ​   ​

Accepted Answer

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

Question 14

Select the graph of the given function.Make sure to include at least two periods. ​   ​

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

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 17

Sketch the graph of the function below, being sure to include at least two full periods. ​
Y = - cos(x+   )   ​

Accepted Answer

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

Question 18

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 19

Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode.) ​   ​

Accepted Answer

A) -0.1736 
B) 0.3264 
C) -0.0736 
D) 0.1264 
E) 0.2264 
A) -0.1736 
B) 0.3264 
C) -0.0736 
D) 0.1264 
E) 0.2264

Question 20

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

Accepted Answer

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

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

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sin 30° = , cos 30° = sin 60° and cos 60°

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

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

Find the value of the expression.Round your result to two decimal places.

Evaluate the trigonometric function.Round your answer to four decimal places. Tan ( -187°)

Describe the behavior of the function below as x approaches π^-.

Find the exact values of the six trigonometric functions of the angle θ for the triangle.

Determine the exact values of the three trigonometric functions sine, cosine, and tangent of the angle θ. Where

Find the period and amplitude. Y = 7 sin 40x

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 80 kilometers 145 kilometers

The designers of a water park are creating a new slide and have sketched some preliminary drawings.The length of the ladder is a = 24 feet, and its angle of elevation is 60º (see figure). Find the height of the slide.Round your answer to two decimal places.

For the simple harmonic motion described by the trigonometric function, find the least positive value of t for which d = 0.

Select the graph of the given function.Make sure to include at least two periods.

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

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

Sketch the graph of the function below, being sure to include at least two full periods. Y = - cos(x+ )

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

Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode.)

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

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

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

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. ​sin 30° = , cos 30° = ​ ​sin 60° and cos 60°

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

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

Find the value of the expression.Round your result to two decimal places. ​ ​

Evaluate the trigonometric function.Round your answer to four decimal places. ​ Tan ( -187°) ​

Describe the behavior of the function below as x approaches π-. ​ ​

Find the exact values of the six trigonometric functions of the angle θ for the triangle. ​

Determine the exact values of the three trigonometric functions sine, cosine, and tangent of the angle θ. ​ ​ Where ​

Find the period and amplitude. ​ Y = 7 sin 40x ​

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. ​ Radius r Arc Length s 80 kilometers ​145 kilometers ​

The designers of a water park are creating a new slide and have sketched some preliminary drawings.The length of the ladder is a = 24 feet, and its angle of elevation is 60º (see figure). ​ ​ Find the height of the slide.Round your answer to two decimal places. ​

For the simple harmonic motion described by the trigonometric function, find the least positive value of t for which d = 0. ​ ​

Select the graph of the given function.Make sure to include at least two periods. ​ ​

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

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

Sketch the graph of the function below, being sure to include at least two full periods. ​ Y = - cos(x+ ) ​

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

Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode.) ​ ​

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

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

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

Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sin 30° = , cos 30° = sin 60° and cos 60°

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

Find the value of the expression.Round your result to two decimal places.

Evaluate the trigonometric function.Round your answer to four decimal places. Tan ( -187°)

Describe the behavior of the function below as x approaches π^-.

Find the exact values of the six trigonometric functions of the angle θ for the triangle.

Determine the exact values of the three trigonometric functions sine, cosine, and tangent of the angle θ. Where

Find the period and amplitude. Y = 7 sin 40x

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. Radius r Arc Length s 80 kilometers 145 kilometers

The designers of a water park are creating a new slide and have sketched some preliminary drawings.The length of the ladder is a = 24 feet, and its angle of elevation is 60º (see figure). Find the height of the slide.Round your answer to two decimal places.

For the simple harmonic motion described by the trigonometric function, find the least positive value of t for which d = 0.

Select the graph of the given function.Make sure to include at least two periods.

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

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

Sketch the graph of the function below, being sure to include at least two full periods. Y = - cos(x+ )

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

Evaluate the trigonometric function.Round your answer to four decimal places.(Be sure the calculator is set in the correct angle mode.)

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