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Noob88
Member
Joined: 23 Nov 2005
Posts: 239
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 Posted: 09 Nov 2006 03:36:54 pm Post subject: |
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I was sitting in my Pre-Cal class wondering if there was an easy way to solve equations ivolving Sin/Cos/Tan.
Ex: sin(C-Cos(C=0
Where C is equal to theta.
After getting to thinking, I figured I could probably make some sort of "guess and check" program if you will to solve certain equations, and this is what I tried first:
Code:
ClrHome
300->dim(L1
For(A,1,15
For(B,1,20
A(pi)/B->C
If sin(C)-cos(C)=0 //this can be replaced with any formula I suppose
C->L1(AB)
End
End
For(F,1,300
If L1(F)!=0 and L1(F)<2(pi)
Disp L1(F)/(pi)>Frac
End
This is very poorly written as I found out after testing it for a few reasons:
1) Storing the variable to "AB" causes many problems. A can be 1 and B can be 5, but A can be 5 and B can be 1... Then storing to that value would overwrite a previous (Maybe correct) answer to the equation.
2) There are problems with this when you have something like
sin(2C)=0
Or something along those lines. Then you come up with answers that for some reason cannot be found by my program, because of the way we learned to do it was:
sin(2C)=1
2C=sin-1(1)+2(pi)
C=sin-1(.5)+(pi)
Then solve and find the answers. My program doesn't have the write denominator for these problems because it doesn't divide by 2.
3) I am unable to do equations that involve Tangent, because of the times at which A and B together make up a value at which Tangent is undefined. Then I get an error and it stops the whole program. Is there a simple line of code I can use to help alleviate this problem also?
Thanks for the help with this... I've been stuck thinking about it for a few days so I finally decided to come here.
[EDIT] Changed the first part of my post so it says (C instead of ©
Last edited by Guest on 09 Nov 2006 03:37:39 pm; edited 1 time in total |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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| Posted: 09 Nov 2006 04:21:43 pm Post subject: |
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| You can use solve() to solve any equation at all. Then if you want the answer in the form "A*Pi/B" divide the answer by Pi and use >Frac. |
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Noob88
Member
Joined: 23 Nov 2005
Posts: 239
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| Posted: 09 Nov 2006 04:45:15 pm Post subject: |
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| The problem with the solve( function is that it only gives one answer, when in reality there are many answers to some of the problems. |
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Fallen Ghost
Elite
Joined: 15 Jun 2006
Posts: 955
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| Posted: 10 Nov 2006 03:19:57 pm Post subject: |
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| Just solve the equation for 1 variable, and in a loop for all of them and poof, there you go. |
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