Formulas for Math II in Ti

[lovemom]

<p>What are some of the specific formulas that are not worth memorizing and can be put in your calculator? Can we start a list and maybe people can add to it? </p>

<p>1) sequences and series
2)</p>

[anhtimmy]

<p>1) sequences and series
2) double sin/cos/tan formulas
3) half sin/cos/tan formulas
4) sum and difference of angle formulas.
5) law of tangent
6) heron’s forumula</p>

<p>here’s some cool formulas to remember</p>

<p>area of square: ((diagonal)^2/2)
area of equilateral triangle: ((s^2)sqrt(3))/4</p>

<p>diagonal of square: s(sqrt(2))
longest diagonal of square: s(sqrt(3))</p>

[jmanco49]

<p>How do you put these into your calculator? Please help!</p>

<p>law of cosines</p>

[cantstopthemusic]

<p>don’t the proctors usually clear calculator programs before the test? or am i imagining that..?</p>

<p>quadratic formula
limit formula</p>

[voodoo_santa]

<p>^ wait are you serious? that would suk for me because i have quite a load of programs on it</p>

[sophia1090]

<p>I haven’t heard of many proctors who clear calculators, but as someone who has taken the Math Subject Tests before…it’s not going to help you. you get about a minute for each problem, and searching your calculator for the equation is not worth it.</p>

<p>Few problems require memorized formulas like the ones listed above.</p>

[voodoo_santa]

<p>^ yeah storing formulas dont help much but programs that find geo/arth seq and quad formula, dis/slope stuff like that saves a load of time</p>

[anhtimmy]

<p>they DON’T clear the calculator…
just to clear things up.</p>

<p>you save it by making a text file with your calculator.
i suggest [WordRider</a> Text Editor for TI-89/92/TxtRider/Hibview/uView - homepage<a href=“Ti-89%20ONLY!”>/url</a>
for Ti-83/84, use [url=<a href=“http://www.ticalc.org/archives/files/fileinfo/366/36668.html]#1”>http://www.ticalc.org/archives/files/fileinfo/366/36668.html]#1</a> ■■■■■■ v.1.10 - (Port: 83+) - ticalc.org](<a href=“http://wordrider.net/]WordRider”>http://wordrider.net/)</p>

<p>here are mine
each one is a different file, makes it easier to sort/find.</p>

<p>

</p>

<h2>ANGLE FORMULAS</h2>

<p>Sum/Difference
sin(x+y)=sin(x)cos(y)+cos(x)sin(y)
sin(x-y)=sin(x)cos(y)-cos(x)sin(y)
cos(x+y)=cos(x)cos(y)-sin(x)sin(y)
cos(x-y)=cos(x)cos(y)+sin(x)sin(y)
tan(x+y)=(tan(x)+tan(y))/(1-tan(x)tan(y))
tan(x-y)=(tan(x)-tan(y))/(1+tan(x)tan(y))
cot(x+y)=(cot(x)<em>cot(y)-1)/(cot(x)+cot(y))
cot(x-y)=(cot(x)</em>cot(y)+1)/(cot(x)-cot(y))</p>

<p>Double Angles
sin(2x)=2<em>sin(x)cos(x)
cos(2x)=cos(x)^2-sin(x)^2
cos(2x)=2</em>cos(x)^2-1
cos(2x)=1-2<em>sin(x)^2
tan(2x)=(2</em>tan(x))/(1-tan(x)^2)|x(2n-1)(Œ/2) and 2x(2n-1)(Œ/2)
cot(2x)=(cot(x)^2-1)/(2<em>cot(x))|xn</em>Œ and 2xn*x</p>

<p>Half-Angles
sin(x/2)=<em>§((1-cos(x))/2)
cos(x/2)=</em>§((1+cos(x))/2)
tan(x/2)=<em>§((1-cos(x))/(1+cos(x)))
cot(x/2)=</em>§((1+cos(x))/(1-cos(x)))</p>

<p>sin(x)+sin(y)=2<em>sin((x+y)/2)cos((x-y)/2)
sin(x)-sin(y)=2</em>cos((x+y)/2)sin((x-y)/2)</p>

<p>cos(x)+cos(y)=2<em>cos((x+y)/2)cos((x-y)/2)
cos(x)-cos(y)=ª2</em>sin((x+y)/2)sin((x-y)/2)</p>

<p>tan(x)+tan(y)=sin(x+y)/(cos(x)cos(y))
tan(x)-tan(y)=sin(x-y)/(cos(x)cos(y))</p>

<p>cot(x)+cot(y)=sin(x+y)/(sin(x)sin(y))
cot(x)-cot(y)=ªsin(x-y)/(sin(x)sin(y))

</p>

<p>

Formulas
Triangle
A=bh/2
A=(1/2)ab sinC</p>

<p>Heron’s Forumula
A= §s(s-a)(s-b)(s-c)
s= (1/2)(a+b+c)</p>

<p>Rhombus
A=bh=1/2(Diagonal 1x2)</p>

<p>Cylinder
V=Œr®h
Lateral SA= 2Œrh
Total SA= 2Œrh+2Œr®</p>

<p>Cone
V=(1/3)Œr®h
Lateral SA= Œr§r®+h®
Total SA= Œr§(r®+h®)+Œr®</p>

<p>Sphere
V=(4/3)Œr¯
SA=4Œr®

</p>

<p>

Ellipse (x-h)2 /a2 + (y-k)2 /b2 = 1
Major and minor axes: a and b
Center = (h,k)
Foci = (h-c,k) and (h+c,k) where c®=a®+b®
Radii = 2a
Eccentricity = c/a<1
Latus rectum = 2b^2/a
Area = Œab</p>

<p>Hyperbola (x-h)2 /a2 - (y-k)2 /b2 = 1
Major and minor axes: a and b
Center = (h,k)
Foci = (h-c,k) and (h+c,k) where c®=a®+b®
Asymptotes: y = ± (b/a)x
Latus rectum = 2 b2/a</p>

<p>Parabola (x-h) = a(y-k)2 (y-k) = a(x-h)2
Vertex = (h,k) (h,k)
Focus = (h+c,k) (h,k+c)
Directrix: y = h-c x = k-c
Axis of symmetry: x=h y=k
Focal point-vertex distance =c where c=1/(4a)

</p>

<p>

LAW OF SINES
sin(A)/a=sin(B)/b=sin(C)/c
LAW OF COSINES
c^2=a^2+b^2-2<em>b</em>c*cos(C)
LAW OF TANGENTS
(a-b)/(a+b)=tan((1/2)(A-B))/tan((1/2)(A+B))</p>

<p>TRIANGLE AREA
1/2<em>a</em>b<em>sin(C)
HERON’S FORMULA
s=.5</em>(a+b+c)
§(s<em>(s-a)</em>(s-b)*(s-c))

</p>

<p>

Arithmetic Sequence
nth term= t1+(n-1)d
arith sum= n/2(t1+tn)</p>

<p>Geometric Sequence
nth term= t1r^(n-1)
geo sum= t1(1-r^n)/(1-r)
inf sum= a1/(1-r) -1<r<1

</p>

<p>

V=Volume
S=Lateral Surface
a=side
r=radius
h=height
B=base</p>

<p>Regular Cube-
V=a^3
S=6*a^2</p>

<p>Prisms and Cylinders
V=B*h</p>

<p>Vertical Cylinders
V=Œ<em>r^2</em>h
S=2Œ<em>r</em>(r+h)</p>

<p>Pyramids and Cones
V=(1/3)<em>B</em>h</p>

<p>Right Cones
V=(1/3)Œ<em>r^2</em>h
S=Œ<em>r</em>(r+a)</p>

<p>Sphere
V=(4/3)Œ<em>r^3
S=4Œ</em>r^2

</p>

[sophia1090]

<p>you don’t need to know those. if you do, you will be able to figure them out either provided or using a calculator or using common sense.</p>

<p>spend time studying concepts and practice tests, not memorizing or storing formulas!</p>

[zephyravatar]

<p>Even easier, use the built in TI-Basic to make programs that solve it for you. You probably won’t need it, but if it comes up, it’ll take 10 seconds max. Even better, try making a nice-looking menu for the program so every formula would be easy to find.</p>

<p>Somehow this idea defeats the purpose of the test though… takes no thinking whatsoever.</p>

[anhtimmy]

<p>exactly haha.
ftw hax</p>

<p>i dont know exactly will show up on the test, but im prepared… no wait overprepared..
i tore my Barron book into shreads after i finished going through it 4 times.
;']</p>