" (i) "x=a cos^(3)theta;y=b sin^(3)theta

x=a cos^(3)theta,y=a sin^(3)theta

Find the blanks. (i) If x=a cos^(3)theta,y=b sin^(3)theta then ((x)/(a))^(2/3)+((y)/(b))^(2/3)=ul(P) (ii) if x=a sec theta cos phi,y=b sec theta sin phi and z=c tan theta then (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=ul(Q) (iii) If cos A+cos^(2)A=1 ,then sin^(2)A+sin^(4)A=ul(R)

If x=a cos^(3)theta,y=b sin^(3)theta, then

If x= a cos^(3) theta, y= b sin^(3) theta, " then "(dy)/(dx)= (b)/(a) tan theta .

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.

If x=a cos^(3)theta,y=b sin^(3)theta, find (d^(3)y)/(dx^(3)) at theta=0

If alpha,beta are the intercepts made on the axes by the tangent at any point of the curve x=a cos^(3)theta and y=b sin^(3)theta, prove that (alpha^(2))/(a^(2))+(beta^(2))/(b^(2))=1

Differentiate w.r.t x Given x =a cos^(3) theta , y = b sin^(3) theta