Question 1

Evaluate the trigonometric function.Round your answer to four decimal places. ​   ​

Accepted Answer

A) 0.8249 
B) 3.3249 
C) 0.3249 
D) 2.3249 
E) 1.3249 
A) 0.8249 
B) 3.3249 
C) 0.3249 
D) 2.3249 
E) 1.3249

Question 2

Find the lengths of all the unknown members of the truss. Round your answer to one decimal place.
​   ​   ​

Accepted Answer

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

Question 3

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

Accepted Answer

A) -1.8382 
B) -24.0997 
C) 0.3090 
D) 3.2361 
E) -0.0415 
A) -1.8382 
B) -24.0997 
C) 0.3090 
D) 3.2361 
E) -0.0415

Question 4

State the period of the function: ​
​   ​

Accepted Answer

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

Question 5

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

Accepted Answer

A) -3.53 
B) 0.47 
C) -0.53 
D) -1.53 
E) -2.53 
A) -3.53 
B) 0.47 
C) -0.53 
D) -1.53 
E) -2.53

Question 6

The sun is 25º above the horizon.Find the length of a shadow cast by a building that is   feet tall (see figure).Approximate the answer to two decimal places. ​   ​

Accepted Answer

A) 281.79 ft 
B) 278.79 ft 
C) 279.79 ft 
D) 280.79 ft 
E) 282.79 ft 
A) 281.79 ft 
B) 278.79 ft 
C) 279.79 ft 
D) 280.79 ft 
E) 282.79 ft

Question 7

Use a graphing utility to select the graph of the function below, making sure to show at least two periods. ​   ​
​   ​
​
​
​
​
​
Xscl =   ​   ​
​
​
​
​
​
Xscl =   ​
​
​
​
​
​
Xscl =   ​
​
​
​
​
Xscl =

Accepted Answer

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

Question 8

Find an algebraic expression that is equivalent to the expression. ​   ​

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

State the period of the function: ​   ​

Accepted Answer

A) ​   
B) 6 
C) 8 
D)    
E) 12 
A) ​   
B) 6 
C) 8 
D)    
E) 12

Question 11

Use a calculator to evaluate cot 335   .Round your answer to four decimal places. ​

Accepted Answer

A) -2.1445 
B) -2.6445 
C) -0.4470 
D) -1.1970 
E) -1.7453 
A) -2.1445 
B) -2.6445 
C) -0.4470 
D) -1.1970 
E) -1.7453

Question 12

Given   and tan θ = 3, determine the following. ​
Cos(90° - θ)
​

Accepted Answer

A) ​cos(90° - θ) =   
B) ​cos(90° - θ) =   
C) ​cos(90° - θ) =   
D) ​cos(90° - θ) = 3 
E) undefined 
A) ​cos(90° - θ) =   
B) ​cos(90° - θ) =   
C) ​cos(90° - θ) =   
D) ​cos(90° - θ) = 3 
E) undefined

Question 13

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 14

Evaluate each function.Round your answers to four decimal places. ​
Sin22.3° and csc22.3°
​

Accepted Answer

A) 0.5795 and 2.8354 
B) 0.3795 and 2.6354 
C) 0.4795 and 2.7354 
D) 0.4295 and 2.6854 
E) 0.5295 and 2.7854 
A) 0.5795 and 2.8354 
B) 0.3795 and 2.6354 
C) 0.4795 and 2.7354 
D) 0.4295 and 2.6854 
E) 0.5295 and 2.7854

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Write an equation for the function that is described by the given characteristics. ​
A sine curve with a period of π, an amplitude of 4, a right phase shift of   , and a vertical translation up 7 units.
​

Accepted Answer

A) y = 10 + 4 sin (2x + π) 
B) y = 7 + 4 sin (2x - π) 
C) ​y = 9 - 4 sin (2x + π) 
D) y = 8 + 4 sin (- 2x - π) 
E) y = 11 + 7 sin (2x - π) 
A) y = 10 + 4 sin (2x + π) 
B) y = 7 + 4 sin (2x - π) 
C) ​y = 9 - 4 sin (2x + π) 
D) y = 8 + 4 sin (- 2x - π) 
E) y = 11 + 7 sin (2x - π)

Question 18

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.

Accepted Answer

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

Question 19

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 20

You are skiing down a mountain with a vertical height of 1250 feet.The distance from the top of the mountain to the base is 2500 feet.What is the angle of elevation from the base to the top of the mountain? ​

Accepted Answer

A) 60° =   
B) 30° =   
C) 0° = 0 
D) 90° =   
E) 45° =   
A) 60° =   
B) 30° =   
C) 0° = 0 
D) 90° =   
E) 45° =

Evaluate the trigonometric function.Round your answer to four decimal places.

Find the lengths of all the unknown members of the truss. Round your answer to one decimal place.

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

State the period of the function:

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

The sun is 25º above the horizon.Find the length of a shadow cast by a building that is feet tall (see figure).Approximate the answer to two decimal places.

Use a graphing utility to select the graph of the function below, making sure to show at least two periods. Xscl = Xscl = Xscl = Xscl =

Find an algebraic expression that is equivalent to the expression.

Evaluate the trigonometric function using its period as an aid.

State the period of the function:

Use a calculator to evaluate cot 335 .Round your answer to four decimal places.

Given and tan θ = 3, determine the following. Cos(90° - θ)

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

Evaluate each function.Round your answers to four decimal places. Sin22.3° and csc22.3°

Use the value of the trigonometric function to find .

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

Write an equation for the function that is described by the given characteristics. A sine curve with a period of π, an amplitude of 4, a right phase shift of , and a vertical translation up 7 units.

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.

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

You are skiing down a mountain with a vertical height of 1250 feet.The distance from the top of the mountain to the base is 2500 feet.What is the angle of elevation from the base to the top of the mountain?

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

Evaluate the trigonometric function.Round your answer to four decimal places. ​ ​

Find the lengths of all the unknown members of the truss. Round your answer to one decimal place. ​ ​ ​

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

State the period of the function: ​ ​ ​

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

The sun is 25º above the horizon.Find the length of a shadow cast by a building that is feet tall (see figure).Approximate the answer to two decimal places. ​ ​

Use a graphing utility to select the graph of the function below, making sure to show at least two periods. ​ ​ ​ ​ ​ ​ ​ ​ ​ Xscl = ​ ​ ​ ​ ​ ​ ​ Xscl = ​ ​ ​ ​ ​ ​ Xscl = ​ ​ ​ ​ ​ Xscl =

Find an algebraic expression that is equivalent to the expression. ​ ​

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

State the period of the function: ​ ​

Use a calculator to evaluate cot 335 .Round your answer to four decimal places. ​

Given and tan θ = 3, determine the following. ​ Cos(90° - θ) ​

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

Evaluate each function.Round your answers to four decimal places. ​ Sin22.3° and csc22.3° ​

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

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

Write an equation for the function that is described by the given characteristics. ​ A sine curve with a period of π, an amplitude of 4, a right phase shift of , and a vertical translation up 7 units. ​

Find the radian measure of the central angle of the circle of radius 6 centimeters that intercepts an arc of length 32 centimeters.

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

You are skiing down a mountain with a vertical height of 1250 feet.The distance from the top of the mountain to the base is 2500 feet.What is the angle of elevation from the base to the top of the mountain? ​

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Evaluate the trigonometric function.Round your answer to four decimal places.

Find the lengths of all the unknown members of the truss. Round your answer to one decimal place.

State the period of the function:

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

The sun is 25º above the horizon.Find the length of a shadow cast by a building that is feet tall (see figure).Approximate the answer to two decimal places.

Use a graphing utility to select the graph of the function below, making sure to show at least two periods. Xscl = Xscl = Xscl = Xscl =

Find an algebraic expression that is equivalent to the expression.

Evaluate the trigonometric function using its period as an aid.

State the period of the function:

Use a calculator to evaluate cot 335 .Round your answer to four decimal places.

Given and tan θ = 3, determine the following. Cos(90° - θ)

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

Evaluate each function.Round your answers to four decimal places. Sin22.3° and csc22.3°

Use the value of the trigonometric function to find .

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

Write an equation for the function that is described by the given characteristics. A sine curve with a period of π, an amplitude of 4, a right phase shift of , and a vertical translation up 7 units.

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

You are skiing down a mountain with a vertical height of 1250 feet.The distance from the top of the mountain to the base is 2500 feet.What is the angle of elevation from the base to the top of the mountain?