How to solve expression containing trig, inverse trig and sqrt...
Subject: How to solve expression containing trig, inverse trig and sqrt...
From: Renaud AUBIN
Date: Fri, 07 Oct 2005 17:41:19 +0200
Here is the complete symbolic expression :
f(a,b,R,ALPHA,OMEGA,t,PHI,RHO) =
R*SIN(OMEGA*t+ALPHA)
-RHO*COS(
ASIN(
SQRT(
(R*SIN(OMEGA*t+PHI+ALPHA)-R*SIN(OMEGA*t+ALPHA))^2
+(R*COS(OMEGA*t+PHI+ALPHA)-R*COS(OMEGA*t+ALPHA)+b-a)^2)
/(2*RHO)
)
+ATAN2(
R*SIN(OMEGA*t+PHI+ALPHA)-R*SIN(OMEGA*t+ALPHA)
,R*COS(OMEGA*t+PHI+ALPHA)-R*COS(OMEGA*t+ALPHA)+b-a
)
)
and I would solve
f( 0, 0.04, 0.006, 62.5*%PI/180, 4, t,
112.5*%PI/180, 0.029835)
- f(0.02, 0.06, 0.006, 62.5*%PI/180, 4, t+%PI/2, 112.5*%PI/180, 0.029835)
= 0
f results from a combination of some geometrical constraints... Maybe I
have to proceed step by step...
Stavros Macrakis a écrit :
>The numbers in your problem look suspicious. In particular, 0.9722222
>- 0.3472222 = 5/8. Often it is easier to solve when things are in
>more explicit symbolic form. Where did .97222 etc. come from?
>
>_______________________________________________
>Maxima mailing list
>Maxima@math.utexas.edu
>http://www.math.utexas.edu/mailman/listinfo/maxima
>
>
>
>