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Deck 31: Using Fundamental Identities
Full screen (f)
Question
Use the given values to evaluate (if possible)three trigonometric functions cos x,sin x,tan x. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)16 cos θ
B)16 sin θ
C)4 sin θ
D)- 4 sin θ
E)4 cos θ
. A)16 cos θ
B)16 sin θ
C)4 sin θ
D)- 4 sin θ
E)4 cos θ
Question
Perform the multiplication and use the fundamental identities to simplify. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the given values to evaluate (if possible)three trigonometric functions cos x,csc x,tan x. 
, 
A)
B)
C)
D)
E)
, A)
B)
C)
D)
E)
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)2 cos θ
B)36 sin θ
C)- 2 sin θ
D)36 cos θ
E)6 sin θ
. A)2 cos θ
B)36 sin θ
C)- 2 sin θ
D)36 cos θ
E)6 sin θ
Question
Use the given values to evaluate (if possible)three trigonometric functions csc x,tan x,cot x. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the given values to evaluate (if possible)three trigonometric functions 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)4 sin θ
B)- 4 cos θ
C)4 cos θ
D)16 sin θ
E)16 cos θ
. A)4 sin θ
B)- 4 cos θ
C)4 cos θ
D)16 sin θ
E)16 cos θ
Question
Use the given values to evaluate (if possible)three trigonometric functions cos x,csc x,tan x. 
A)
tan x = - 
B)
tan x = - 
C)
tan x = 
D)
tan x = 
E)
tan x = - 
A)
tan x = -
B)
tan x = - C)
tan x =
D)
tan x =
E)
tan x = -
Question
Use the given values to evaluate (if possible)three trigonometric functions 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
By using a graphing utility to complete the following table.Round your answer to four decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the given values to evaluate (if possible)three trigonometric functions sin x,cos x,cot x. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
By using a graphing utility to complete the following table.Round your answer to four decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the given values to evaluate (if possible)three trigonometric functions 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use the given values to evaluate (if possible)two trigonometric functions 
and 
. 
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
Question
By using a graphing utility to complete the following table.Round your answer to two decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the fundamental identities to simplify the expression. 
A)cot θ
B)cot θ
C)sec θ
D)cos θ
E)csc θ
A)cot θ
B)cot θ
C)sec θ
D)cos θ
E)csc θ
Question
By using a graphing utility to complete the following table.Round your answer to four decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Use the given values to evaluate (if possible)three trigonometric functions cos x,sin x,cot x. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
.Then find sin θ and cos θ. 
A)
B)
C)
D)
E)
.Then find sin θ and cos θ. A)
B)
C)
D)
E)
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the rate of change of the function 
.
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Find the rate of change of the function 
.
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use the trigonometric substitution u = a csc θ,where 0 < θ < π/2 and a > 0 to simplify the expression 
.
A)a tan θ
B)- a cot θ
C)a csc θ
D)a cos θ
E)a cot θ
. A)a tan θ
B)- a cot θ
C)a csc θ
D)a cos θ
E)a cot θ
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)25 tan θ
B)5 tan θ
C)25 sec θ
D)6 sec θ
E)- 5 sec θ
. A)25 tan θ
B)5 tan θ
C)25 sec θ
D)6 sec θ
E)- 5 sec θ
Question
Rewrite the expression as a single logarithm and simplify the result. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a calculator to demonstrate the identity for the value of θ. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
.Then find sin θ and cos θ. 
A)
B)
C)
D)
E)
.Then find sin θ and cos θ. A)
B)
C)
D)
E)
Question
Find the rate of change of the function 
.
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use the trigonometric substitution u = a sin θ,where - π/2 < θ < π/2 and a > 0 to simplify the expression 
.
A)a csc θ
B)a sin θ
C)a tan θ
D)a cos θ
E)- a cos θ
. A)a csc θ
B)a sin θ
C)a tan θ
D)a cos θ
E)- a cos θ
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)- 5 sec θ
B)5 tan θ
C)25 sec θ
D)25 tan θ
E)5 sec θ
. A)- 5 sec θ
B)5 tan θ
C)25 sec θ
D)25 tan θ
E)5 sec θ
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)6 sin θ
B)
C)
D)
E)6 cos θ
. A)6 sin θ
B)
C)
D)
E)6 cos θ
Question
Rewrite the expression as a single logarithm and simplify the result. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the trigonometric substitution u = a tan θ,where 0 < θ < π/2 and to simplify the expression 
.
A)- a sec θ
B)a sec θ
C)a tan θ
D)a sin θ
E)a csc θ
. A)- a sec θ
B)a sec θ
C)a tan θ
D)a sin θ
E)a csc θ
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
.Then find sin θ and cos θ. 
A)
B)
C)
D)
E)
.Then find sin θ and cos θ. A)
B)
C)
D)
E)
Question
If 
,evaluate the following function. cot x
A)cot x =
B)cot x =
C)cot x = 2
D)cot x =
E)cot x =
,evaluate the following function. cot x
A)cot x =
B)cot x =
C)cot x = 2
D)cot x =
E)cot x =
Question
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where 
. 
A)4 tan θ
B)16 sec θ
C)- 4 tan θ
D)4 sec θ
E)16 tan θ
. A)4 tan θ
B)16 sec θ
C)- 4 tan θ
D)4 sec θ
E)16 tan θ
Question
The forces acting on an object weighing W units on an inclined plane positioned at an angle of θ with the horizontal (see figure)are modeled by 
where μ is the coefficient of friction.Solve the equation for μ and simplify the result. 
A)
B)
C)
D)
E)
where μ is the coefficient of friction.Solve the equation for μ and simplify the result. A)
B)
C)
D)
E)
Question
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If x = 6 sin θ,use trigonometric substitution to write 
as a trigonometric function of θ,where 
.
A)6 csc θ
B)6 sec θ
C)6 sin θ
D)6 cos θ
E)6 tan θ
as a trigonometric function of θ,where .A)6 csc θ
B)6 sec θ
C)6 sin θ
D)6 cos θ
E)6 tan θ
Question
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Rewrite 
as a single logarithm and then simplify the result.
A)
B)
C)
D)
E)
as a single logarithm and then simplify the result. A)
B)
C)
D)
E)
Question
Which of the following is equivalent to the given expression? 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Multiply;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If x = 2 tan θ,use trigonometric substitution to write 
as a trigonometric function of θ,where 
.
A)2 csc θ
B)2 sec θ
C)2 cos θ
D)2 tan θ
E)2 sin θ
as a trigonometric function of θ,where . A)2 csc θ
B)2 sec θ
C)2 cos θ
D)2 tan θ
E)2 sin θ
Question
If x = 4 cot θ,use trigonometric substitution to write 
as a trigonometric function of θ,where 0 < θ < π.
A)4 cos θ
B)4 csc θ
C)4 cot θ
D)4 sec θ
E)4 sin θ
as a trigonometric function of θ,where 0 < θ < π.A)4 cos θ
B)4 csc θ
C)4 cot θ
D)4 sec θ
E)4 sin θ
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. 
A)-1
B)
C)cot x
D)1/ tan x
E)cos x csc x
A)-1
B)
C)cot x
D)1/ tan x
E)cos x csc x
Question
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Multiply;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If x = 5 sin θ,use trigonometric substitution to write 
as a trigonometric function of θ,where 
.
A)5 sin θ
B)5 cos θ
C)5 tan θ
D)5 csc θ
E)5 sec θ
as a trigonometric function of θ,where .A)5 sin θ
B)5 cos θ
C)5 tan θ
D)5 csc θ
E)5 sec θ
Question
Which of the following is equivalent to the given expression? 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a graphing utility to determine which of the trigonometric functions is equal to the following expression. 
A) y = cos x
B) y = sin x
2
- 2π
2π
- 2
C) y = csc x
D) y = cot x
4
- 2π
2π
- 4
E) y = tan x
A) y = cos x
B) y = sin x
2
- 2π
2π
- 2
C) y = csc x
D) y = cot x
4
- 2π
2π
- 4
E) y = tan x
Question
If x = 3 cot θ,use trigonometric substitution to write 
as a trigonometric function of θ,where 
.
A)3 sec θ
B)3 csc θ
C)3 cos θ
D)3 sin θ
E)3 cot θ
as a trigonometric function of θ,where . A)3 sec θ
B)3 csc θ
C)3 cos θ
D)3 sin θ
E)3 cot θ
Question
Rewrite 
as a single logarithm and then simplify the result.
A)ln |sin θ|
B)ln |tan θ|
C)ln |cos θ|
D)ln |sec θ|
E)ln |csc θ|
as a single logarithm and then simplify the result.A)ln |sin θ|
B)ln |tan θ|
C)ln |cos θ|
D)ln |sec θ|
E)ln |csc θ|
Question
If x = 2 tan θ,use trigonometric substitution to write 
as a trigonometric function of θ,where 
.
A)2 cos θ
B)2 tan θ
C)2 sin θ
D)2 sec θ
E)2 csc θ
as a trigonometric function of θ,where . A)2 cos θ
B)2 tan θ
C)2 sin θ
D)2 sec θ
E)2 csc θ
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Deck 31: Using Fundamental Identities
1
Use the given values to evaluate (if possible)three trigonometric functions cos x,sin x,tan x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)16 cos θ
B)16 sin θ
C)4 sin θ
D)- 4 sin θ
E)4 cos θ
. A)16 cos θ
B)16 sin θ
C)4 sin θ
D)- 4 sin θ
E)4 cos θ
4 sin θ
3
Perform the multiplication and use the fundamental identities to simplify.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Use the given values to evaluate (if possible)three trigonometric functions cos x,csc x,tan x. ,
A)
B)
C)
D)
E)
, A)
B)
C)
D)
E)
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5
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)2 cos θ
B)36 sin θ
C)- 2 sin θ
D)36 cos θ
E)6 sin θ
. A)2 cos θ
B)36 sin θ
C)- 2 sin θ
D)36 cos θ
E)6 sin θ
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Unlock Deck
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6
Use the given values to evaluate (if possible)three trigonometric functions csc x,tan x,cot x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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7
Use the given values to evaluate (if possible)three trigonometric functions .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
8
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)4 sin θ
B)- 4 cos θ
C)4 cos θ
D)16 sin θ
E)16 cos θ
. A)4 sin θ
B)- 4 cos θ
C)4 cos θ
D)16 sin θ
E)16 cos θ
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
9
Use the given values to evaluate (if possible)three trigonometric functions cos x,csc x,tan x.
A) tan x = -
B) tan x = -
C) tan x =
D) tan x =
E) tan x = -
A)
tan x = -
B)
tan x = - C)
tan x =
D)
tan x =
E)
tan x = -
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Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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10
Use the given values to evaluate (if possible)three trigonometric functions .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
11
By using a graphing utility to complete the following table.Round your answer to four decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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12
Use the given values to evaluate (if possible)three trigonometric functions sin x,cos x,cot x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
13
By using a graphing utility to complete the following table.Round your answer to four decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
14
Use the given values to evaluate (if possible)three trigonometric functions .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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Unlock Deck
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15
Use the given values to evaluate (if possible)two trigonometric functions and .
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
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16
By using a graphing utility to complete the following table.Round your answer to two decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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17
Use the fundamental identities to simplify the expression.
A)cot θ
B)cot θ
C)sec θ
D)cos θ
E)csc θ
A)cot θ
B)cot θ
C)sec θ
D)cos θ
E)csc θ
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Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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18
By using a graphing utility to complete the following table.Round your answer to four decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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19
Use the fundamental identities to simplify the expression.
Cot θ sec θ
A)tan θ
B)sec θ cot θ
C)csc θ
D)cot θ
E)cos θ
Cot θ sec θ
A)tan θ
B)sec θ cot θ
C)csc θ
D)cot θ
E)cos θ
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20
Use the given values to evaluate (if possible)three trigonometric functions cos x,sin x,cot x.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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21
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .Then find sin θ and cos θ.
A)
B)
C)
D)
E)
.Then find sin θ and cos θ. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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22
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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23
Find the rate of change of the function .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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24
Find the rate of change of the function .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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25
Use the trigonometric substitution u = a csc θ,where 0 < θ < π/2 and a > 0 to simplify the expression .
A)a tan θ
B)- a cot θ
C)a csc θ
D)a cos θ
E)a cot θ
. A)a tan θ
B)- a cot θ
C)a csc θ
D)a cos θ
E)a cot θ
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26
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)25 tan θ
B)5 tan θ
C)25 sec θ
D)6 sec θ
E)- 5 sec θ
. A)25 tan θ
B)5 tan θ
C)25 sec θ
D)6 sec θ
E)- 5 sec θ
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27
Rewrite the expression as a single logarithm and simplify the result.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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28
Use a calculator to demonstrate the identity for the value of θ.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
29
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .Then find sin θ and cos θ.
A)
B)
C)
D)
E)
.Then find sin θ and cos θ. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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30
Find the rate of change of the function .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
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31
Use the trigonometric substitution u = a sin θ,where - π/2 < θ < π/2 and a > 0 to simplify the expression .
A)a csc θ
B)a sin θ
C)a tan θ
D)a cos θ
E)- a cos θ
. A)a csc θ
B)a sin θ
C)a tan θ
D)a cos θ
E)- a cos θ
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32
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
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33
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)- 5 sec θ
B)5 tan θ
C)25 sec θ
D)25 tan θ
E)5 sec θ
. A)- 5 sec θ
B)5 tan θ
C)25 sec θ
D)25 tan θ
E)5 sec θ
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34
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)6 sin θ
B)
C)
D)
E)6 cos θ
. A)6 sin θ
B)
C)
D)
E)6 cos θ
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35
Rewrite the expression as a single logarithm and simplify the result.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
Use the trigonometric substitution u = a tan θ,where 0 < θ < π/2 and to simplify the expression .
A)- a sec θ
B)a sec θ
C)a tan θ
D)a sin θ
E)a csc θ
. A)- a sec θ
B)a sec θ
C)a tan θ
D)a sin θ
E)a csc θ
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37
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .Then find sin θ and cos θ.
A)
B)
C)
D)
E)
.Then find sin θ and cos θ. A)
B)
C)
D)
E)
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38
If ,evaluate the following function. cot x
A)cot x =
B)cot x =
C)cot x = 2
D)cot x =
E)cot x =
,evaluate the following function. cot x
A)cot x =
B)cot x =
C)cot x = 2
D)cot x =
E)cot x =
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39
Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of θ,where .
A)4 tan θ
B)16 sec θ
C)- 4 tan θ
D)4 sec θ
E)16 tan θ
. A)4 tan θ
B)16 sec θ
C)- 4 tan θ
D)4 sec θ
E)16 tan θ
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k this deck
40
The forces acting on an object weighing W units on an inclined plane positioned at an angle of θ with the horizontal (see figure)are modeled by where μ is the coefficient of friction.Solve the equation for μ and simplify the result.
A)
B)
C)
D)
E)
where μ is the coefficient of friction.Solve the equation for μ and simplify the result. A)
B)
C)
D)
E)
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41
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
42
If x = 6 sin θ,use trigonometric substitution to write as a trigonometric function of θ,where .
A)6 csc θ
B)6 sec θ
C)6 sin θ
D)6 cos θ
E)6 tan θ
as a trigonometric function of θ,where .A)6 csc θ
B)6 sec θ
C)6 sin θ
D)6 cos θ
E)6 tan θ
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Unlock Deck
k this deck
43
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
44
Rewrite as a single logarithm and then simplify the result.
A)
B)
C)
D)
E)
as a single logarithm and then simplify the result. A)
B)
C)
D)
E)
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Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
45
Which of the following is equivalent to the given expression?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
46
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
47
Multiply;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
48
If x = 2 tan θ,use trigonometric substitution to write as a trigonometric function of θ,where .
A)2 csc θ
B)2 sec θ
C)2 cos θ
D)2 tan θ
E)2 sin θ
as a trigonometric function of θ,where . A)2 csc θ
B)2 sec θ
C)2 cos θ
D)2 tan θ
E)2 sin θ
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Unlock Deck
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49
If x = 4 cot θ,use trigonometric substitution to write as a trigonometric function of θ,where 0 < θ < π.
A)4 cos θ
B)4 csc θ
C)4 cot θ
D)4 sec θ
E)4 sin θ
as a trigonometric function of θ,where 0 < θ < π.A)4 cos θ
B)4 csc θ
C)4 cot θ
D)4 sec θ
E)4 sin θ
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50
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.
A)-1
B)
C)cot x
D)1/ tan x
E)cos x csc x
A)-1
B)
C)cot x
D)1/ tan x
E)cos x csc x
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Unlock Deck
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51
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
52
Multiply;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
53
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
54
Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
Unlock Deck
k this deck
55
If x = 5 sin θ,use trigonometric substitution to write as a trigonometric function of θ,where .
A)5 sin θ
B)5 cos θ
C)5 tan θ
D)5 csc θ
E)5 sec θ
as a trigonometric function of θ,where .A)5 sin θ
B)5 cos θ
C)5 tan θ
D)5 csc θ
E)5 sec θ
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Unlock Deck
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56
Which of the following is equivalent to the given expression?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
57
Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.
A) y = cos x
B) y = sin x
2
- 2π
2π
- 2
C) y = csc x
D) y = cot x
4
- 2π
2π
- 4
E) y = tan x
A) y = cos x
B) y = sin x
2
- 2π
2π
- 2
C) y = csc x
D) y = cot x
4
- 2π
2π
- 4
E) y = tan x
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Unlock Deck
k this deck
58
If x = 3 cot θ,use trigonometric substitution to write as a trigonometric function of θ,where .
A)3 sec θ
B)3 csc θ
C)3 cos θ
D)3 sin θ
E)3 cot θ
as a trigonometric function of θ,where . A)3 sec θ
B)3 csc θ
C)3 cos θ
D)3 sin θ
E)3 cot θ
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k this deck
59
Rewrite as a single logarithm and then simplify the result.
A)ln |sin θ|
B)ln |tan θ|
C)ln |cos θ|
D)ln |sec θ|
E)ln |csc θ|
as a single logarithm and then simplify the result.A)ln |sin θ|
B)ln |tan θ|
C)ln |cos θ|
D)ln |sec θ|
E)ln |csc θ|
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60
If x = 2 tan θ,use trigonometric substitution to write as a trigonometric function of θ,where .
A)2 cos θ
B)2 tan θ
C)2 sin θ
D)2 sec θ
E)2 csc θ
as a trigonometric function of θ,where . A)2 cos θ
B)2 tan θ
C)2 sin θ
D)2 sec θ
E)2 csc θ
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Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 60 flashcards in this deck.
