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Deck 9: Analytical Trigonometry
Full screen (f)
Question
Convert the expression into a product. Simplify where possible. 
(Hint: Use the identity 
.)
A)
B) 1/2
C) 1
D) 0
E)
(Hint: Use the identity .)A)
B) 1/2
C) 1
D) 0
E)
Question
Use the addition formulas for sine and cosine to simplify the expression. 
A)
B) 1/2
C) 0
D) 1
E)
A)
B) 1/2
C) 0
D) 1
E)
Question
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Refer to the triangle and compute 
. 
A) 1/5
B)
C)
D) 1/8
E)
. A) 1/5
B)
C)
D) 1/8
E)
Question
Compute 
and 
using the data below. 
A)
B)
C)
D)
E)
and using the data below. A)
B)
C)
D)
E)
Question
Use the given information to compute 
. 
and 
A)
B)
C)
D)
E)
. and A)
B)
C)
D)
E)
Question
Use the given information to compute 
. 
and 
A)
B)
C)
D) 4/15
E)
. and A)
B)
C)
D) 4/15
E)
Question
Determine all of the solutions in the interval 
. 
A)
, and 
B)
, and 
C)
, and 
D)
, and 
E)
, and 
F)
G) no solution.
. A)
, and B)
, and C)
, and D)
, and E)
, and F)
G) no solution.
Question
Find the right side of the identity. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Is 
a solution of 
?
a solution of ? Question
Refer to the triangle and compute 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the addition formulas for tangent to simplify the expression. 
A)
B)
C)
D)
E) 1
A)
B)
C)
D)
E) 1
Question
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible. 
A) 0
B) -1/4
C) -1/2
D) 1/4
E) 1/2
A) 0
B) -1/4
C) -1/2
D) 1/4
E) 1/2
Question
Use the following information to evaluate the expression. 
A)
B)
C) 8/7
D) -1/3
E) -1/5
A)
B)
C) 8/7
D) -1/3
E) -1/5
Question
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the addition formulas for sine and cosine to simplify the expression. 
A)
B)
C)
D) 0
E) 3
A)
B)
C)
D) 0
E) 3
Question
Use the given information to compute 
and 
. 
and 
A)
B)
C)
D)
E)
and . and A)
B)
C)
D)
E)
Question
Use the formula for 
to compute the exact value of 
.
A)
B)
C)
D)
E)
to compute the exact value of .A)
B)
C)
D)
E)
Question
Compute 
and 
using the data below. 
A)
B)
C)
D)
E)
and using the data below. A)
B)
C)
D)
E)
Question
Evaluate the quantity that is defined, but do not use a calculator or tables. 
A) -π/4
B) -π/3
C) -π/2
D) π/4
E) -π/6
A) -π/4
B) -π/3
C) -π/2
D) π/4
E) -π/6
Question
Evaluate the quantity without using a calculator or tables. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the given quantity, but do not use a calculator or table. 
A) π
B)
C) 0
D)
E)
A) π
B)
C) 0
D)
E)
Question
Evaluate the quantity without using a calculator or tables. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Evaluate the quantity without using a calculator or tables. 
A) 1/2
B)
C)
D) -1/2
E)
A) 1/2
B)
C)
D) -1/2
E)
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Full screen (f)
Deck 9: Analytical Trigonometry
1
Convert the expression into a product. Simplify where possible. (Hint: Use the identity .)
A)
B) 1/2
C) 1
D) 0
E)
(Hint: Use the identity .)A)
B) 1/2
C) 1
D) 0
E)
0
2
Use the addition formulas for sine and cosine to simplify the expression.
A)
B) 1/2
C) 0
D) 1
E)
A)
B) 1/2
C) 0
D) 1
E)
1/2
3
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Refer to the triangle and compute .
A) 1/5
B)
C)
D) 1/8
E)
. A) 1/5
B)
C)
D) 1/8
E)
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5
Compute and using the data below.
A)
B)
C)
D)
E)
and using the data below. A)
B)
C)
D)
E)
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6
Use the given information to compute . and
A)
B)
C)
D)
E)
. and A)
B)
C)
D)
E)
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7
Use the given information to compute . and
A)
B)
C)
D) 4/15
E)
. and A)
B)
C)
D) 4/15
E)
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8
Determine all of the solutions in the interval .
A) , and
B) , and
C) , and
D) , and
E) , and
F)
G) no solution.
. A)
, and B)
, and C)
, and D)
, and E)
, and F)
G) no solution.
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9
Find the right side of the identity.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Is a solution of ?
a solution of ? Unlock Deck
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11
Refer to the triangle and compute .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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12
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Use the addition formulas for tangent to simplify the expression.
A)
B)
C)
D)
E) 1
A)
B)
C)
D)
E) 1
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14
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible.
A) 0
B) -1/4
C) -1/2
D) 1/4
E) 1/2
A) 0
B) -1/4
C) -1/2
D) 1/4
E) 1/2
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15
Use the following information to evaluate the expression.
A)
B)
C) 8/7
D) -1/3
E) -1/5
A)
B)
C) 8/7
D) -1/3
E) -1/5
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16
Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
17
Use the addition formulas for sine and cosine to simplify the expression.
A)
B)
C)
D) 0
E) 3
A)
B)
C)
D) 0
E) 3
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k this deck
18
Use the given information to compute and . and
A)
B)
C)
D)
E)
and . and A)
B)
C)
D)
E)
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19
Use the formula for to compute the exact value of .
A)
B)
C)
D)
E)
to compute the exact value of .A)
B)
C)
D)
E)
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20
Compute and using the data below.
A)
B)
C)
D)
E)
and using the data below. A)
B)
C)
D)
E)
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Unlock Deck
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21
Evaluate the quantity that is defined, but do not use a calculator or tables.
A) -π/4
B) -π/3
C) -π/2
D) π/4
E) -π/6
A) -π/4
B) -π/3
C) -π/2
D) π/4
E) -π/6
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Unlock Deck
k this deck
22
Evaluate the quantity without using a calculator or tables.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Evaluate the given quantity, but do not use a calculator or table.
A) π
B)
C) 0
D)
E)
A) π
B)
C) 0
D)
E)
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24
Evaluate the quantity without using a calculator or tables.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
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25
Evaluate the quantity without using a calculator or tables.
A) 1/2
B)
C)
D) -1/2
E)
A) 1/2
B)
C)
D) -1/2
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
