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" 5."(i)x=a sin^(3)t,y=a cos^(3)t...

" 5."(i)x=a sin^(3)t,y=a cos^(3)t

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Find the equation of the tangent and the normal at the point 't,on the curve x=a sin^(3)t,y=b cos^(3)t

The slope of the tangent to the curve x=2 sin ^(3) t, y=3 cos ^(3) t " at " t= (pi)/(4) is

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Show that the equation of normal at any point t on the curve x=3 cos t - cos^(3) t and y=3 sin t - sin^(3) t is 4(y cos^(3) t-x sin^(3) t) = 3 sin 4t .

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