b sin%, prove that (a), (Ifxa cos3andy – InterviewSolution

1.

b sin%, prove that (a), (Ifxa cos3andy

Answer»

Given,x = a cos^3 thetax/a = cos^3 theta.... (1)

y = b sin^3 thetay/b = sin^3 theta.... (2)

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

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