![Page 1: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/1.jpg)
Developed by Susan Canteyand student Elizabeth Albert
at Walnut Hills H.S.2006
Welcome to the
Pre-Calculus Power Point Flash Drill!
![Page 2: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/2.jpg)
I’m going to ask you a lot of questions about math. These are facts that you should know extremely
well. You also need to be able to recall them quickly if you want to succeed in Calculus.
When you think you know the answer,
(or if you give up ) click to get to the next slide to see if you were correct.
Ready?
![Page 3: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/3.jpg)
Define an
Even Function
![Page 4: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/4.jpg)
)()( xfxf
Note: It is NOT enough to know the graph is
symmetric with respect to the y-axis.
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Define an
Odd Function
![Page 6: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/6.jpg)
)()( xfxf Again, please note that it is NOT enough to know that the graph has origin
symmetry.
![Page 7: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/7.jpg)
See if you can identify the function that probably goes with each of these simple
graphs….
![Page 8: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/8.jpg)
lyrespective
xxf
and
xxf
)(
)( 2
![Page 9: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/9.jpg)
How about these?
![Page 10: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/10.jpg)
lyrespective
xxf
and
xxf
3
3
)(
)(
![Page 11: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/11.jpg)
What about this one?
2
2
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xxf 1tan)(
Did you know it?
You are a tiger!
![Page 13: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/13.jpg)
How about these?
![Page 14: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/14.jpg)
xxf
1)(
and222 ryx
respectively
![Page 15: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/15.jpg)
and finally:
![Page 16: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/16.jpg)
lyrespective
xxf
and
exf x
ln)(
)(
![Page 17: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/17.jpg)
The graph of x = a
is…
![Page 18: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/18.jpg)
… a vertical line.
![Page 19: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/19.jpg)
The graph of y = a
is…
![Page 20: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/20.jpg)
… a horizontal line.
![Page 21: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/21.jpg)
OK…that’s enough about graphs!
Let’s move on…
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?1 x
![Page 23: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/23.jpg)
x
1
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?2/1 x
![Page 25: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/25.jpg)
x
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?2 x
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2
1
x
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?n mx
![Page 29: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/29.jpg)
nm
xThink “flower” & “root”
![Page 30: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/30.jpg)
?ln nx
![Page 31: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/31.jpg)
xn ln
![Page 32: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/32.jpg)
?ln xy
![Page 33: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/33.jpg)
yx lnln
![Page 34: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/34.jpg)
?ln y
x
![Page 35: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/35.jpg)
yx lnln
![Page 36: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/36.jpg)
?
?log xb
![Page 37: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/37.jpg)
b
x
ln
ln
![Page 38: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/38.jpg)
?1
ln
x
![Page 39: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/39.jpg)
xln
![Page 40: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/40.jpg)
?1ln
![Page 41: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/41.jpg)
0
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?ln xe
![Page 43: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/43.jpg)
x
![Page 44: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/44.jpg)
?ln xe
![Page 45: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/45.jpg)
x
![Page 46: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/46.jpg)
OK…enough of the logs already!
![Page 47: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/47.jpg)
The formula for the slope of a
line is
m = ?
![Page 48: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/48.jpg)
12
12
xx
yy
x
y
![Page 49: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/49.jpg)
Point slope equation of a
line ?
![Page 50: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/50.jpg)
)( 11 xxmyy
![Page 51: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/51.jpg)
Midpoint Formula = ?
![Page 52: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/52.jpg)
2,
22121 yyxx
![Page 53: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/53.jpg)
Distance Formula=?
![Page 54: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/54.jpg)
212
212 )()( xxyy
![Page 55: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/55.jpg)
xDefine:
![Page 56: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/56.jpg)
{|x|x for x 0-x for x<0
![Page 57: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/57.jpg)
?98.2
![Page 58: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/58.jpg)
2(Greatest integer < 2.98)
![Page 59: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/59.jpg)
?17.2
![Page 60: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/60.jpg)
3You always round
down the number line!
![Page 61: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/61.jpg)
Here comes your favorite thing!
Yeah! Trigonometry!
![Page 62: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/62.jpg)
?0sin
![Page 63: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/63.jpg)
0
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?0cos
![Page 65: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/65.jpg)
1
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?6
sin
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2
1
![Page 68: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/68.jpg)
?4
sin
![Page 69: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/69.jpg)
2
2
2
1or
![Page 70: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/70.jpg)
?3
sin
![Page 71: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/71.jpg)
2
3
![Page 72: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/72.jpg)
?2
sin
![Page 73: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/73.jpg)
1
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?2
cos
![Page 75: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/75.jpg)
0
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?3
cos
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2
1
![Page 78: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/78.jpg)
?4
cos
![Page 79: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/79.jpg)
2
2
2
1or
![Page 80: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/80.jpg)
?6
cos
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2
3
![Page 82: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/82.jpg)
?cos
![Page 83: Developed by Susan Cantey and student Elizabeth Albert at Walnut Hills H.S. 2006 Welcome to the Pre-Calculus Power Point Flash Drill!](https://reader035.vdocuments.us/reader035/viewer/2022081515/5697bf791a28abf838c823ed/html5/thumbnails/83.jpg)
1
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?0tan
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0
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?4
tan
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14
sin4
cos
because:
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?2
tan
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(or undefined)
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?3
tan
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3
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?6
tan
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3
1or
3
3
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What are the Principle domains of the 6 trig
functions?
That is, what quadrants are the angles in which can be used to
answer inverse trig function problems?
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2,2
2,2
,0
for cosine
for sine
for tangent
(Different texts assign different principle domains to the other three trig functions,
so we won’t bother with them.)
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?2
1sin 1
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6
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?2
1cos 1
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4
3
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?2
3sin 1
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3
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?1tan 1
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sine and cosine have to be equal!
4
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?3tan 1
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3131
0
31
13
Answer:3
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OK…now let’s see if you know your identities!
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?cossin 22 xx
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1I hope you knew that one!!!
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?sin 2 x
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x2cos1OK, that’s really the same one!
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?sin 2 xWhat’s the one with the ½’s in it?
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x2cos21
21
That one is harder, but you will need it in calculus!
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?cos2 xDo you know both of them?
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x
and
x
2cos
sin1
21
21
2
You rock!!!
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?tan1 2 x
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x2secDid ya get the ol’
“stamp of approval” on that one?
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?1sec2 x
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x2tanThey’re laughing because this is really the same
one again!
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?sincos 22 xx
Ho Ho Ho!!
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x2cosI don’t know why Santa thought
this was funny!
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?2sin x
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xx cossin2This one is very important!!
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Now for a little algebra and you’ll be done!!
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?22 ba
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baba
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?33 ba
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22 bababa
Notice there is NO “2”
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?33 ba
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22 bababa Still no 2!!!
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?)( 2 ba
(almost finished!!!)
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22 2 baba There’s that two you wanted before!!
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Last one!!!!
3ba
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3223 33 babbaa Don’t be foiled!
Use the binomial
Theorem.
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If you know all this material, then you are prepared to begin
calculus… All you need now is a sharp mind, a sharp pencil and
a really big eraser!
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GOODBYE!!!!
ADIOS!
AUFWIEDESEHEN!
CHOW!