`x=a cos^(3)theta,y=b sin^(3)theta`:`((x)/(a))^(2/3)+((y)/(b))^(2/3)=1`

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=acos^(3)theta,y=bsin^(3)theta then ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3))=?

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

x=a cos^(3)theta and y=a sin^(3)theta then :-

If x = a cos ^(3) theta and y = b sin ^(3) theta , then the value of ((x)/(a))^(2//3) + ((y)/(b))^(2//3)

If x=acos^(3)theta and y = bsin^(3)theta , prove that ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1.

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

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

If x=a^(2)cos^(3)theta and y=b^(2)sin^(3)theta then (i)(x^(2))/(a)+(y^(2))/(b)=1( ii) ((x)/(a^(2)))^((1)/(3))+((y)/(b^(2)))^((1)/(3))( iii) ((x^(2))/(a^(2)))^((2)/(3))+((y^(2))/(a^(2)))^((2)/(3))=1( iv) ((x)/(a^(2)))^((2)/(3))+((y)/(b^(2)))^((2)/(3))=1