Question 1

Find csc  θ  if    and   .

Accepted Answer

The answer of Find csc  θ  if    and...

Question 2

Find sec θ  if    and θ  terminates in QIII.

Accepted Answer

The answer of Find sec θ  if    and...

Question 3

Use your calculator to find sin  θ  and cos  θ  if the point    is on the terminal side of θ . ​

Accepted Answer

A) sin  θ = 0.8, cos  θ = 0.6 
B) sin  θ  = 0.6, cos  θ  = 0.8 
C) sin  θ  = 0.6, cos  θ  = -0.8 
D) sin  θ  = -0.6, cos  θ  = -0.8 
E) sin  θ  = -0.6, cos  θ  = 0.8 
A) sin  θ = 0.8, cos  θ = 0.6 
B) sin  θ  = 0.6, cos  θ  = 0.8 
C) sin  θ  = 0.6, cos  θ  = -0.8 
D) sin  θ  = -0.6, cos  θ  = -0.8 
E) sin  θ  = -0.6, cos  θ  = 0.8

Question 4

If    and   , find cos θ .

Accepted Answer

The answer of If    and   ,...

Question 5

The object shown in the figure is a cube (all edges are equal in length).   If the length of each edge of the cube shown in the figure is 1 inch0, find the length of diagonal CE . ​

Accepted Answer

A)     inches 
B)     inch0 
C)     inches 
D)     inches 
E)     inches 
A)     inches 
B)     inch0 
C)     inches 
D)     inches 
E)     inches

Question 6

Indicate the quadrants in which the terminal side of θ  must lie in order that sin  θ  is positive and tan  θ  is negative. ​

Accepted Answer

A) III 
B) I 
C) II 
D) IV 
E) none of the above 
A) III 
B) I 
C) II 
D) IV 
E) none of the above

Question 7

Indicate if the angle 100° is acute or obtuse. __________ 
Give the complement angle. __________° 
Give the supplement angle. __________°

Accepted Answer

The answer of Indicate if the angle 100° is acute or...

Question 8

In which quadrant(s)must the terminal side of θ  lie if cos  θ  and cot  θ  are to have the same sign?

Accepted Answer

The answer of In which quadrant(s)must the terminal side of...

Question 9

Give the complement angle of angle x . __________ 
Give the supplement angle of angle x . __________

Accepted Answer

The answer of Give the complement angle of angle x...

Question 10

Find the distance between the following points:   ,    ​

Accepted Answer

A) 3 
B) 5 
C) 4 
D) 2 
E) 1 
A) 3 
B) 5 
C) 4 
D) 2 
E) 1

Question 11

Find the remaining trigonometric functions of θ  if   and cos  θ

Accepted Answer

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

Question 12

Find the distance between the points:   , ​   ​

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Indicate if the angle 50° is acute or obtuse. Then give the complement and the supplement of the angle. ​

Accepted Answer

A) obtuse; complement: 040° supplement: 130° 
B) acute; complement: 040 ° supplement: 130 ° 
C) acute; complement: 040° supplement: -50° 
D) obtuse; complement: 040° supplement: -50° 
E) acute; complement: 130° supplement: 040° 
A) obtuse; complement: 040° supplement: 130° 
B) acute; complement: 040 ° supplement: 130 ° 
C) acute; complement: 040° supplement: -50° 
D) obtuse; complement: 040° supplement: -50° 
E) acute; complement: 130° supplement: 040°

Question 15

Multiply.

Accepted Answer

The answer of Multiply.  ...

Question 16

Find AB  if BC = 3, BD = 5, and AD = 6.   ​

Accepted Answer

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

Question 17

Find all six trigonometric functions of θ  if the given point is on the terminal side of θ .(Assume that a is a positive number.)   ​

Accepted Answer

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

Question 18

For this problem, let   , and   , and find 
tan  θ

Accepted Answer

The answer of For this problem, let   , and...

Question 19

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -120°.   ​

Accepted Answer

A) -120 ° 
B) 235° 
C) 240° 
D) -240 ° 
E) 120° 
A) -120 ° 
B) 235° 
C) 240° 
D) -240 ° 
E) 120°

Question 20

Use the reciprocal identities for the following problem. If tan  θ = 5 a , ( a ≠ 0) find cot  θ .
​

Accepted Answer

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

Find csc θ if and .

Find sec θ if and θ terminates in QIII.

Use your calculator to find sin θ and cos θ if the point is on the terminal side of θ .

If and , find cos θ .

The object shown in the figure is a cube (all edges are equal in length). If the length of each edge of the cube shown in the figure is 1 inch0, find the length of diagonal CE .

Indicate the quadrants in which the terminal side of θ must lie in order that sin θ is positive and tan θ is negative.

Indicate if the angle 100° is acute or obtuse. Give the complement angle. ° Give the supplement angle. __°

In which quadrant(s)must the terminal side of θ lie if cos θ and cot θ are to have the same sign?

Give the complement angle of angle x . Give the supplement angle of angle x .

Find the distance between the following points: ,

Find the remaining trigonometric functions of θ if and cos θ

Find the distance between the points: ,

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

Indicate if the angle 50° is acute or obtuse. Then give the complement and the supplement of the angle.

Multiply.

Find AB if BC = 3, BD = 5, and AD = 6.

Find all six trigonometric functions of θ if the given point is on the terminal side of θ .(Assume that a is a positive number.)

For this problem, let , and , and find tan θ

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -120°.

Use the reciprocal identities for the following problem. If tan θ = 5 a , ( a ≠ 0) find cot θ .

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

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Triangles

Complex Numbers and Polar Coordinates

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Exam 1: The Six Trigonometric Functions

Find csc θ if and .

Find sec θ if and θ terminates in QIII.

Use your calculator to find sin θ and cos θ if the point is on the terminal side of θ . ​

If and , find cos θ .

The object shown in the figure is a cube (all edges are equal in length). If the length of each edge of the cube shown in the figure is 1 inch0, find the length of diagonal CE . ​

Indicate the quadrants in which the terminal side of θ must lie in order that sin θ is positive and tan θ is negative. ​

Indicate if the angle 100° is acute or obtuse. __________ Give the complement angle. __________° Give the supplement angle. __________°

In which quadrant(s)must the terminal side of θ lie if cos θ and cot θ are to have the same sign?

Give the complement angle of angle x . __________ Give the supplement angle of angle x . __________

Find the distance between the following points: , ​

Find the remaining trigonometric functions of θ if and cos θ

Find the distance between the points: , ​ ​

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

Indicate if the angle 50° is acute or obtuse. Then give the complement and the supplement of the angle. ​

Multiply.

Find AB if BC = 3, BD = 5, and AD = 6. ​

Find all six trigonometric functions of θ if the given point is on the terminal side of θ .(Assume that a is a positive number.) ​

For this problem, let , and , and find tan θ

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -120°. ​

Use the reciprocal identities for the following problem. If tan θ = 5 a , ( a ≠ 0) find cot θ . ​

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Use your calculator to find sin θ and cos θ if the point is on the terminal side of θ .

The object shown in the figure is a cube (all edges are equal in length). If the length of each edge of the cube shown in the figure is 1 inch0, find the length of diagonal CE .

Indicate the quadrants in which the terminal side of θ must lie in order that sin θ is positive and tan θ is negative.

Indicate if the angle 100° is acute or obtuse. Give the complement angle. ° Give the supplement angle. __°

Give the complement angle of angle x . Give the supplement angle of angle x .

Find the distance between the following points: ,

Find the distance between the points: ,

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

Indicate if the angle 50° is acute or obtuse. Then give the complement and the supplement of the angle.

Find AB if BC = 3, BD = 5, and AD = 6.

Find all six trigonometric functions of θ if the given point is on the terminal side of θ .(Assume that a is a positive number.)

Use the diagram to help you name an angle between 0° and 360° that is coterminal with the angle -120°.

Use the reciprocal identities for the following problem. If tan θ = 5 a , ( a ≠ 0) find cot θ .