find the pedam equation if a circle whose polar equation is r=2 a cos delta
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Step-by-step explanation:
dr /d(theta) = -2asin(theta) ; divide and multiply by cos(theta) ; 1/r × dr/ d(theta) = -tan(theta) ;
cot (fi)=cot(pi/2+theta) ; fi=pi/2+ theta wkt; p=rsin(fi) = rsin(pi/2+ theta)=rcos(theta) ; divide the equations : r/p = 2a cos(theta) / r cos(theta) ; p=r^2 /2a differentiate the equation ; 1= 2r ×dr/dp / 2a ; dr/dp= a/r pedal equation of curve ; rho= r × dr/dp = r× a/ r = a
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