How to solve expression containing trig, inverse trig and sqrt...

Hello,

I'm a newbie and if the answer to my problem seems obvious, I'm sorry...

I have a geometrical problem to solve, i.e. I want to know the planar 
parametric curve describes by a point submitted to geometrical 
constraints. I have already obtained the parametric equations [ 
fx(theta), fy(theta) ] but now, I want to solve fy(theta) - 
fy(theta+phi) = 0 but I did not succeed in using sequently trigexpand, 
trigsimp, trigreduce then solve...

Is in maxima a special way to do that, or have I to return to my 
blackboard and try to solve my equation by myself ?

Here is my f(t) :

0.029835*SIN(
ATAN2(0.006*SIN(4*t+0.97222222222222*%PI)
-0.006*SIN(4*t+0.34722222222222*%PI)
,0.006*COS(4*t+0.97222222222222*%PI)
-0.006*COS(4*t+0.34722222222222*%PI)
+0.04)

+ASIN(16.75884028825205*SQRT(
(0.006*SIN(4*t+0.97222222222222*%PI)
-0.006*SIN(4*t+0.34722222222222*%PI))^2
+(0.006*COS(4*t+0.97222222222222*%PI)
-0.006*COS(4*t+0.34722222222222*%PI)+0.04)^2)
)

-%PI/2

)
+0.006*SIN(4*t+0.34722222222222*%PI)

When I try to solve f(t)-f(t+phi) = 0 , phi as a known value (i.e. two 
solutions exist) maxima does nothing than return to the next line with 
an input prompt...


Best regards,

Renaud AUBIN