Deck 5: Identities and Formulas
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Deck 5: Identities and Formulas
1
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.
A)not an identity
B)is an identity

A)not an identity
B)is an identity
not an identity
2
Find the identical expression for the following.
A)
B)
C)
D)
E)1

A)

B)

C)

D)

E)1
1
3
Find the identical expression for the following.
A)
B)
C)
D)
E)2

A)

B)

C)

D)

E)2


4
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Find the identical expression for the following.
A)
B)
C)
D)
E)1

A)

B)

C)

D)

E)1
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6
In the list below find the right part of the identity.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
Find the identical expression for the following.
A)
B)
C)
D)
E)1

A)

B)

C)

D)

E)1
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10
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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11
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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12
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. 

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15
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together.
A)not an identity
B)is an identity

A)not an identity
B)is an identity
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16
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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17
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
Use your graphing calculator to determine if the equation appears to be an identity or not by graphing the left expression and right expression together. 

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19
Show that each of the statements is not an identity by finding in the list below the values of
that make the statement false.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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20
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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21
The identity is from the book Plane and Spherical Trigonometry with Tables by Rosenbach, Whitman, and Moskovitz, and published by Ginn and Company in 1937. Verify the identity.


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22
Prove that the identity is true. 

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23
Prove that the identity is true. 

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24
Prove that the identity is true. 

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25
Prove that the identity is true. 

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26
Prove that the identity is true.


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27
Prove that the identity is true. 

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28
Prove that the identity is true.


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29
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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30
Prove that the identity is true. 

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31
Prove that the identity is true. 

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32
Prove that the identity is true. 

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33
Show that the statement is not an identity by finding a value of
that makes the statement false. 


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34
Graph one complete cycle of
by first rewriting the right side in the form
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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35
Let
with A in QII and
with B in QIII. Find
.
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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36
Prove that the identity is true. 

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37
Write the expression as a single trigonometric function.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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38
Prove that the identity is true. 

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39
Prove that the identity is true. 

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40
Prove that the identity is true. 

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41
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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42
Find the identical expression for the following.
A)0
B)
C)
D)
E)

A)0
B)

C)

D)

E)

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43
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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44
Write a formula for
by writing
as
and using the formula for the cosine of a sum.



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45
If
and
, find
.
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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46
Find exact value for the following:
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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47
If
and
, find
.
__________




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48
Write the expression as a single trigonometric function.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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49
Find the exact value for the following. 

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50
Find the exact value for the following. 

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51
Find the exact value for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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52
Find the identical expression for the following.
A)0
B)
C)
D)
E)

A)0
B)

C)

D)

E)

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53
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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54
Prove the identity. 

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55
Write a formula for
by writing
as
and using the formula for the sine of a sum.
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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Unlock Deck
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56
Write a formula for
by writing
as
and using the formula for the sine of a sum.



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57
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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Unlock Deck
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58
Write a formula for
by writing
as
and using the formula for the cosine of a sum.
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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59
Use your graphing calculator to determine if the equation appears to be an identity by graphing the left expression and right expression together.
A)This is not an identity.
B)This is an identity.

A)This is not an identity.
B)This is an identity.
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60
Find the identical expression for the following.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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61
If
, find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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62
Graph the function from
and
y = 6cos2
0 - 3
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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63
Prove the identity. 

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64
If
with A in QII find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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65
If
with A in QIII Find sin 2 A .
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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66
If
, find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
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Unlock Deck
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67
If
with A in QII find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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68
If
with A in QIII Find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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69
Prove the identity. 

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70
If
, find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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71
Show that the following is true. 

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72
Show that the following is true. 

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73
If
with A in QII find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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74
Prove the identity. 

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75
Prove the identity. 

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76
From the list below find the expression equivalent to
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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77
If
with A in QIV Find cot 2 A .
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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78
Show that the following is true. 

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79
If
with A in QIII find
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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80
Graph the function from
and
y = 2 - 4sin2 3 x
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
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