Question 1

Find all values of θ, where 0°< θ
   
360° when cscθ =
   
.

Accepted Answer

45°, 135°

Question 2

Evaluate csc(40° 50' 42"). Round answers to 3 decimal places.

Accepted Answer

1.529

Question 3

Use the triangle to write csc$\theta$, if A = 40, B = 9, and C = 41.

Accepted Answer

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

Question 4

Evaluate sin(-495°) exactly.

Accepted Answer

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

Question 5

Some very destructive beetles have made their way into a forest preserve. The rangers are trying to keep track of their spread and how well preventative measures are working. In a triangular area that is 49.9 miles on one side, 43.5 miles on another and 57.0 miles on the third, what is the total area the rangers are covering? Round to one decimal place.

Accepted Answer

1,047.7 sq

Question 6

Find the area of the triangle described. Round to the nearest integer.
 
B = 493, c = 402 , a = 338

Accepted Answer

A)  67,441 
B)  4,548,335,944 
C)  823,777 
D)  815,453 
A)  67,441 
B)  4,548,335,944 
C)  823,777 
D)  815,453

Question 7

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of 
   
θ drawn in standard position. If tanθ =
   
, then what is cosθ?

Accepted Answer

The answer of A right triangle is drawn in QI...

Question 8

Convert 
   
π radians to degrees. Round the answer to one decimal place.

Accepted Answer

The answer of Convert 
   
π radians to...

Question 9

If cot $\theta$ =
 
, and the terminal side of $\theta$ lies in quadrant II, find sec $\theta$.

Accepted Answer

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

Question 10

Clock. What is the measure of the angle an hour hand on a clock makes if it starts at 3:00 am on Tuesday and continues until 7:00 am on Thursday?

Accepted Answer

A)  -840° 
B)  1560° 
C)  840° 
D)  -1560° 
A)  -840° 
B)  1560° 
C)  840° 
D)  -1560°

Question 11

Windshield Wipers. A windshield wiper that is 12 inches long (blade and arm) rotates 70°. If the rubber part is 8 inches long, what is the area cleared by the wiper? Round to the nearest square inch.

Accepted Answer

The answer of Windshield Wipers. A windshield wiper that is...

Question 12

Convert
 
 $\pi$radians to degrees. Round the answer to one decimal place.

Accepted Answer

A)  240.0° 
B)  0.1° 
C)  15.0° 
D)  135.0° 
A)  240.0° 
B)  0.1° 
C)  15.0° 
D)  135.0°

Question 13

Use a calculator to approximate the cot 29.1° to three decimal places.

Accepted Answer

The answer of Use a calculator to approximate the cot...

Question 14

The terminal side of an angle θ in standard position passes through the point 
   
. Calculate the exact value of sin θ.

Accepted Answer

The answer of The terminal side of an angle θ...

Question 15

Use a calculator to approximate the length of the arc on a circle with central angle θ = 
   
and radius r = 3.3 mm. Round your answer to two significant digits.

Accepted Answer

The answer of Use a calculator to approximate the length...

Question 16

Use a calculator to approximate the cos 31.6° to three decimal places.

Accepted Answer

A)  0.852 
B)  1.625 
C)  0.524 
D)  1.908 
A)  0.852 
B)  1.625 
C)  0.524 
D)  1.908

Question 17

Find the exact length of the arc subtended by a central angle of θ = 11 radians on a circle with radius 20 yd.

Accepted Answer

The answer of Find the exact length of the arc...

Question 18

Use the triangle to write sin$\theta$, if A = 9, B = 40, and C = 41.

Accepted Answer

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

Question 19

Find the angular speed,
 
, associated with rotating a central angle $\theta$= 645° in time t = 30 seconds.

Accepted Answer

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

Question 20

Evaluate sin(30° 59'). Round answers to 3 decimal places.

Accepted Answer

The answer of Evaluate sin(30° 59'). Round answers to 3...

Find all values of θ, where 0°< θ 360° when cscθ = .

Evaluate csc(40° 50' 42"). Round answers to 3 decimal places.

Use the triangle to write csc $\theta$ , if A = 40, B = 9, and C = 41. $Use the triangle to write csc \theta , if A = 40, B = 9, and C = 41.$

Evaluate sin(-495°) exactly.

Find the area of the triangle described. Round to the nearest integer. B = 493, c = 402 , a = 338

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of θ drawn in standard position. If tanθ = , then what is cosθ?

Convert π radians to degrees. Round the answer to one decimal place.

If cot $\theta$ = $If cot \theta = , and the terminal side of \theta lies in quadrant II, find sec \theta .$ , and the terminal side of $\theta$ lies in quadrant II, find sec $\theta$ .

Clock. What is the measure of the angle an hour hand on a clock makes if it starts at 3:00 am on Tuesday and continues until 7:00 am on Thursday?

Windshield Wipers. A windshield wiper that is 12 inches long (blade and arm) rotates 70°. If the rubber part is 8 inches long, what is the area cleared by the wiper? Round to the nearest square inch.

Convert $Convert \pi radians to degrees. Round the answer to one decimal place.$ $\pi$ radians to degrees. Round the answer to one decimal place.

Use a calculator to approximate the cot 29.1° to three decimal places.

The terminal side of an angle θ in standard position passes through the point . Calculate the exact value of sin θ.

Use a calculator to approximate the length of the arc on a circle with central angle θ = and radius r = 3.3 mm. Round your answer to two significant digits.

Use a calculator to approximate the cos 31.6° to three decimal places.

Find the exact length of the arc subtended by a central angle of θ = 11 radians on a circle with radius 20 yd.

Use the triangle to write sin $\theta$ , if A = 9, B = 40, and C = 41. $Use the triangle to write sin \theta , if A = 9, B = 40, and C = 41.$

Find the angular speed, $Find the angular speed, , associated with rotating a central angle \theta = 645° in time t = 30 seconds.$ , associated with rotating a central angle $\theta$ = 645° in time t = 30 seconds.

Evaluate sin(30° 59'). Round answers to 3 decimal places.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 4: Trigonometric Functions of Angles

Find all values of θ, where 0°< θ 360° when cscθ = .

Evaluate csc(40° 50' 42"). Round answers to 3 decimal places.

Use the triangle to write csc θ\thetaθ , if A = 40, B = 9, and C = 41.

Evaluate sin(-495°) exactly.

Find the area of the triangle described. Round to the nearest integer. B = 493, c = 402 , a = 338

A right triangle is drawn in QI with one leg on the x-axis and its hypotenuse on the terminal side of θ drawn in standard position. If tanθ = , then what is cosθ?

Convert π radians to degrees. Round the answer to one decimal place.

If cot θ\thetaθ = , and the terminal side of θ\thetaθ lies in quadrant II, find sec θ\thetaθ .

Clock. What is the measure of the angle an hour hand on a clock makes if it starts at 3:00 am on Tuesday and continues until 7:00 am on Thursday?

Windshield Wipers. A windshield wiper that is 12 inches long (blade and arm) rotates 70°. If the rubber part is 8 inches long, what is the area cleared by the wiper? Round to the nearest square inch.

Convert π\piπ radians to degrees. Round the answer to one decimal place.

Use a calculator to approximate the cot 29.1° to three decimal places.

The terminal side of an angle θ in standard position passes through the point . Calculate the exact value of sin θ.

Use a calculator to approximate the length of the arc on a circle with central angle θ = and radius r = 3.3 mm. Round your answer to two significant digits.

Use a calculator to approximate the cos 31.6° to three decimal places.

Find the exact length of the arc subtended by a central angle of θ = 11 radians on a circle with radius 20 yd.

Use the triangle to write sin θ\thetaθ , if A = 9, B = 40, and C = 41.

Find the angular speed, , associated with rotating a central angle θ\thetaθ = 645° in time t = 30 seconds.

Evaluate sin(30° 59'). Round answers to 3 decimal places.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Use the triangle to write csc $\theta$ , if A = 40, B = 9, and C = 41. $Use the triangle to write csc \theta , if A = 40, B = 9, and C = 41.$

If cot $\theta$ = $If cot \theta = , and the terminal side of \theta lies in quadrant II, find sec \theta .$ , and the terminal side of $\theta$ lies in quadrant II, find sec $\theta$ .

Convert $Convert \pi radians to degrees. Round the answer to one decimal place.$ $\pi$ radians to degrees. Round the answer to one decimal place.

Use the triangle to write sin $\theta$ , if A = 9, B = 40, and C = 41. $Use the triangle to write sin \theta , if A = 9, B = 40, and C = 41.$

Find the angular speed, $Find the angular speed, , associated with rotating a central angle \theta = 645° in time t = 30 seconds.$ , associated with rotating a central angle $\theta$ = 645° in time t = 30 seconds.