curves r=4(1+cost) and r=5(1-cost)
from sympy import * r , t = symbols ('r,t') r1=4*(cos ( t ) ) ; r2=5*(sin ( t ) ) ; dr1 = diff ( r1 , t ) dr2 = diff ( r2 , t ) t1=r1/dr1 t2=r2/dr2 q= solve ( r1-r2 , t ) 23 w1=t1 . subs ({t: float ( q[0])}) w2=t2 . subs ({t: float ( q[0])}) y1= atan ( w1 ) y2= atan ( w2 ) w=abs( y1-y2 ) print ('Angle between curves in radians is %0.4f '% float ( w ) )
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