" Find "(ct_(1))/(c_(1))" it "x=2cos^(3)t" and "y=2sin^(3)t

Find (dy)/(dx) where x=cos^(-1)(8t^(4)-8t^(2)+1) and y=sin^(-1)(3t-4t^(3)),[0lt t lt(1)/(2)] .

If x = sin t and y = tan t , then (dy)/(dx) is equal to a) cos ^(2) t b) (1)/( cos ^(3) t ) c) (1)/( cos ^(2) t ) d) sin ^(2) t

Find (dy)/(dx) where x= cos^(-1)(8t^4-8t^2+1) y =sin^(-1)(3t-4t)^3,[0

Find (dy)/(dx) when : x=cos^(-1)(8t^(4)-8t^(2)+1) , y=sin^(-1)(3t-4t^(3))[0 lt t lt (1)/(2)]

Find dy/dx x=cos^(3)t/sqrtcos2t , y = sin^(3)t/sqrt cos2t

Let a circle x^(2) + y^(2) + 2gx + 2fy + k = 0 cuts a rectangular hyperbola xy = c^(2) in (ct_(1), c/t_(1)) , (ct_(2), c/t_(2)) , (ct_(3), c/t_(3)) " and " (ct_(4), c/t_(4)) .