Question 1

Find the distance y across the flat sides of a hexagonal nut (see figure).   cm Round your answer to two decimal places.
​   ​

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

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) 1.61 
B) 1.53 
C) 0.04 
D) 0.96 
E) -0.04 
A) 1.61 
B) 1.53 
C) 0.04 
D) 0.96 
E) -0.04

Question 6

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 7

A Global Positioning System satellite orbits a = 13,000 miles above Earth's surface (see figure).Find the angle of depression from the satellite to the horizon.Assume the radius of Earth is 4000 miles.Round your answer to two decimal places. ​   ​

Accepted Answer

A) 77.39º 
B) 78.39º 
C) 79.39º 
D) 76.39º 
E) 80.39º 
A) 77.39º 
B) 78.39º 
C) 79.39º 
D) 76.39º 
E) 80.39º

Question 8

A land developer wants to find the distance across a small lake in the middle of his proposed development.The bearing from A to B is   .The developer leaves point A and travels 74 yards perpendicular to   to point C.The bearing from C to point B is   .Determine the distance, AB, across the small lake.Round distance to nearest yard.

Accepted Answer

A) 169 yards 
B) 114 yards 
C) 139 yards 
D) 154 yards 
E) 121 yards 
A) 169 yards 
B) 114 yards 
C) 139 yards 
D) 154 yards 
E) 121 yards

Question 9

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 10

Given sin 30° =   and cos 30° =   , determine the following: ​cot 30°

Accepted Answer

A) ​cot 30° =   
B) undefined 
C) ​cot 30° =   
D) ​cot 30° =   
E) ​cot 30° = 2 
A) ​cot 30° =   
B) undefined 
C) ​cot 30° =   
D) ​cot 30° =   
E) ​cot 30° = 2

Question 11

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

Accepted Answer

A) 2.71 
B) -0.29 
C) 1.71 
D) 0.71 
E) -1.29 
A) 2.71 
B) -0.29 
C) 1.71 
D) 0.71 
E) -1.29

Question 12

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 13

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

Accepted Answer

A) 1.87 
B) -2.13 
C) -1.13 
D) 0.87 
E) -0.13 
A) 1.87 
B) -2.13 
C) -1.13 
D) 0.87 
E) -0.13

Question 14

Given   and   , determine the following: ​sec 30°
​

Accepted Answer

A) ​sec 30° = 1 
B) ​sec 30° =   
C) ​sec 30° =   
D) ​sec 30° =   
E) undefined 
A) ​sec 30° = 1 
B) ​sec 30° =   
C) ​sec 30° =   
D) ​sec 30° =   
E) undefined

Question 15

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

Accepted Answer

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

Question 16

Convert the angle measure from degrees to radians.Round to three decimal places. ​
323°
​

Accepted Answer

A) 323° ≈ 5.637 radians 
B) 323° ≈ 6.937 radians 
C) 323° ≈ 5.537 radians 
D) 323° ≈ 5.937 radians 
E) 323° ≈ 0.323 radians 
A) 323° ≈ 5.637 radians 
B) 323° ≈ 6.937 radians 
C) 323° ≈ 5.537 radians 
D) 323° ≈ 5.937 radians 
E) 323° ≈ 0.323 radians

Question 17

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by ​   ,
Where t is the time (in seconds).
(Inhalation occurs when v > 0 and exhalation occurs when v < 0.)
​
Find the time for one full respiratory cycle.​
​

Accepted Answer

A) 6 sec 
B) 2 sec 
C) 7 sec 
D) 3 sec 
E) 8 sec 
A) 6 sec 
B) 2 sec 
C) 7 sec 
D) 3 sec 
E) 8 sec

Question 18

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
6 inches
​20 inches
​
​

Accepted Answer

A) θ = ​120 radians 
B) θ =   radians 
C) θ =   radians 
D) θ =   radians 
E) θ = 26 radians 
A) θ = ​120 radians 
B) θ =   radians 
C) θ =   radians 
D) θ =   radians 
E) θ = 26 radians

Question 19

Evaluate each function.Round your answers to four decimal places. ​
Sec0.74 and cos0.74
​

Accepted Answer

A) 1.4042 and 0.7885 
B) 1.5542 and 0.9385 
C) 1.3542 and 0.7385 
D) 1.4542 and 0.8385 
E) 1.5042 and 0.8885 
A) 1.4042 and 0.7885 
B) 1.5542 and 0.9385 
C) 1.3542 and 0.7385 
D) 1.4542 and 0.8385 
E) 1.5042 and 0.8885

Question 20

Use a graphing utility to graph the function below.Be sure to include at least two full periods.

Accepted Answer

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

Find the distance y across the flat sides of a hexagonal nut (see figure). cm Round your answer to two decimal places.

Evaluate the trigonometric function using its period as an aid.

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

Evaluate the trigonometric function using its period as an aid.

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

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

A Global Positioning System satellite orbits a = 13,000 miles above Earth's surface (see figure).Find the angle of depression from the satellite to the horizon.Assume the radius of Earth is 4000 miles.Round your answer to two decimal places.

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

Given sin 30° = and cos 30° = , determine the following: cot 30°

Evaluate the expression.Round your result 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.

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

Given and , determine the following: sec 30°

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

Convert the angle measure from degrees to radians.Round to three decimal places. 323°

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by , Where t is the time (in seconds). (Inhalation occurs when v > 0 and exhalation occurs when v < 0.) Find the time for one full respiratory cycle.

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 6 inches 20 inches

Evaluate each function.Round your answers to four decimal places. Sec0.74 and cos0.74

Use a graphing utility to graph the function below.Be sure to include at least two full periods.

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 1: Trigonometry

Find the distance y across the flat sides of a hexagonal nut (see figure). cm Round your answer to two decimal places. ​ ​

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

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

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

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

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

A Global Positioning System satellite orbits a = 13,000 miles above Earth's surface (see figure).Find the angle of depression from the satellite to the horizon.Assume the radius of Earth is 4000 miles.Round your answer to two decimal places. ​ ​

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

Given sin 30° = and cos 30° = , determine the following: ​cot 30°

Evaluate the expression.Round your result 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. ​ ​ ​

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

Given and , determine the following: ​sec 30° ​

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

Convert the angle measure from degrees to radians.Round to three decimal places. ​ 323° ​

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by ​ , Where t is the time (in seconds). (Inhalation occurs when v > 0 and exhalation occurs when v < 0.) ​ Find the time for one full respiratory cycle.​ ​

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 6 inches ​20 inches ​ ​

Evaluate each function.Round your answers to four decimal places. ​ Sec0.74 and cos0.74 ​

Use a graphing utility to graph the function below.Be sure to include at least two full periods.

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Find the distance y across the flat sides of a hexagonal nut (see figure). cm Round your answer to two decimal places.

Evaluate the trigonometric function using its period as an aid.

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

Evaluate the trigonometric function using its period as an aid.

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

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

A Global Positioning System satellite orbits a = 13,000 miles above Earth's surface (see figure).Find the angle of depression from the satellite to the horizon.Assume the radius of Earth is 4000 miles.Round your answer to two decimal places.

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

Given sin 30° = and cos 30° = , determine the following: cot 30°

Evaluate the expression.Round your result 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.

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

Given and , determine the following: sec 30°

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

Convert the angle measure from degrees to radians.Round to three decimal places. 323°

After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by , Where t is the time (in seconds). (Inhalation occurs when v > 0 and exhalation occurs when v < 0.) Find the time for one full respiratory cycle.

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 6 inches 20 inches

Evaluate each function.Round your answers to four decimal places. Sec0.74 and cos0.74