Question 1

Graph the line.   ​

Accepted Answer

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

Question 2

Find the distance between the points:   ,

Accepted Answer

The answer of Find the distance between the points: ...

Question 3

Simplify the expression    as much as possible after substituting   for x .

Accepted Answer

The answer of Simplify the expression    as much...

Question 4

Find A  if B = 20° and  α +  β = 100°.   Remember: The sum of the three angles in any triangle is always 180°. A = __________°

Accepted Answer

The answer of Find A  if B = 20° and  α + ...

Question 5

Find the remaining trigonometric functions of θ  if    where m and n are both positive. Assume that θ  is between 0° and 180°.

Accepted Answer

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

Question 6

Give the reciprocal of the given number.

Accepted Answer

The answer of Give the reciprocal of the given number....

Question 7

Find r  if AB = 18 and AD = 30.

Accepted Answer

The answer of Find r  if AB = 18 and AD = 30....

Question 8

Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 15.

Accepted Answer

The answer of Find the remaining sides of a 30° -...

Question 9

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 18.

Accepted Answer

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

Question 10

A searchlight rotates through one complete revolution every 6 seconds. How long does it take the light to rotate through 300°? ​

Accepted Answer

A) 4 sec. 
B) 7 sec. 
C) 2 sec. 
D) 3 sec. 
E) 5 sec. 
A) 4 sec. 
B) 7 sec. 
C) 2 sec. 
D) 3 sec. 
E) 5 sec.

Question 11

An escalator in a department store is to carry people a vertical distance of 25 feet between floors. How long is the escalator if it makes an angle of 30° with the ground? ​

Accepted Answer

A) 42 feet 
B) 31 feet 
C) 41 feet 
D) 50 feet 
E) 39 feet 
A) 42 feet 
B) 31 feet 
C) 41 feet 
D) 50 feet 
E) 39 feet

Question 12

The figure shows a walkway with a handrail. Angle α  is the angle between the walkway and the horizontal, while angle  β  is the angle between the vertical posts of the handrail and the walkway. Assume that the vertical posts are perpendicular to the horizontal.   Find α  if β = 52°.

Accepted Answer

A) α = 57° 
B) α  = 123 ° 
C) α  = 38 ° 
D) α  = 128 ° 
E) α  = 52 ° 
A) α = 57° 
B) α  = 123 ° 
C) α  = 38 ° 
D) α  = 128 ° 
E) α  = 52 °

Question 13

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -60°.   __________°

Accepted Answer

The answer of Use the diagram to help you name...

Question 14

If    and   , find csc  θ . ​

Accepted Answer

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

Question 15

Write the following in terms of sin  θ  and cos  θ  and then simplify if possible.

Accepted Answer

The answer of Write the following in terms of sin ...

Question 16

Use a ratio identity to find cot  θ  if   and    .

Accepted Answer

The answer of Use a ratio identity to find cot ...

Question 17

Find AB  if BC = 3, BD = 5, and AD = 7.   Simplify the answer. Do not convert to decimal form.

Accepted Answer

The answer of Find AB  if BC = 3, BD...

Question 18

Indicate the quadrant(s)in which the terminal side of θ  must lie in order that cos  θ  is positive and tan  θ  is positive.

Accepted Answer

The answer of Indicate the quadrant(s)in which the terminal side...

Question 19

If    and θ  terminates in QIII, find cos  θ . ​

Accepted Answer

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

Question 20

If    and   , find cos θ . ​

Accepted Answer

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

Graph the line.

Find the distance between the points: ,

Simplify the expression as much as possible after substituting for x .

Find A if B = 20° and α + β = 100°. Remember: The sum of the three angles in any triangle is always 180°. A = __________°

Find the remaining trigonometric functions of θ if where m and n are both positive. Assume that θ is between 0° and 180°.

Give the reciprocal of the given number.

Find r if AB = 18 and AD = 30.

Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 15.

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 18.

A searchlight rotates through one complete revolution every 6 seconds. How long does it take the light to rotate through 300°?

An escalator in a department store is to carry people a vertical distance of 25 feet between floors. How long is the escalator if it makes an angle of 30° with the ground?

The figure shows a walkway with a handrail. Angle α is the angle between the walkway and the horizontal, while angle β is the angle between the vertical posts of the handrail and the walkway. Assume that the vertical posts are perpendicular to the horizontal. Find α if β = 52°.

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -60°. __________°

If and , find csc θ .

Write the following in terms of sin θ and cos θ and then simplify if possible.

Use a ratio identity to find cot θ if and .

Find AB if BC = 3, BD = 5, and AD = 7. Simplify the answer. Do not convert to decimal form.

Indicate the quadrant(s)in which the terminal side of θ must lie in order that cos θ is positive and tan θ is positive.

If and θ terminates in QIII, find cos θ .

If and , find cos θ .

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Exam 1: The Six Trigonometric Functions

Graph the line. ​

Find the distance between the points: ,

Simplify the expression as much as possible after substituting for x .

Find A if B = 20° and α + β = 100°. Remember: The sum of the three angles in any triangle is always 180°. A = __________°

Find the remaining trigonometric functions of θ if where m and n are both positive. Assume that θ is between 0° and 180°.

Give the reciprocal of the given number.

Find r if AB = 18 and AD = 30.

Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 15.

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 18.

A searchlight rotates through one complete revolution every 6 seconds. How long does it take the light to rotate through 300°? ​

An escalator in a department store is to carry people a vertical distance of 25 feet between floors. How long is the escalator if it makes an angle of 30° with the ground? ​

The figure shows a walkway with a handrail. Angle α is the angle between the walkway and the horizontal, while angle β is the angle between the vertical posts of the handrail and the walkway. Assume that the vertical posts are perpendicular to the horizontal. Find α if β = 52°.

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -60°. __________°

If and , find csc θ . ​

Write the following in terms of sin θ and cos θ and then simplify if possible.

Use a ratio identity to find cot θ if and .

Find AB if BC = 3, BD = 5, and AD = 7. Simplify the answer. Do not convert to decimal form.

Indicate the quadrant(s)in which the terminal side of θ must lie in order that cos θ is positive and tan θ is positive.

If and θ terminates in QIII, find cos θ . ​

If and , find cos θ . ​

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Graph the line.

A searchlight rotates through one complete revolution every 6 seconds. How long does it take the light to rotate through 300°?

An escalator in a department store is to carry people a vertical distance of 25 feet between floors. How long is the escalator if it makes an angle of 30° with the ground?

If and , find csc θ .

If and θ terminates in QIII, find cos θ .

If and , find cos θ .