If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.
It is given that
Then, we have
…………………… (1)
…………………… (2)
Therefore, from equation (1) and (2), we get
, [since, cos2t= (2cos2t-1) and also cos2t= (1-2sin2t)]
, [Since, cos3t = 4cos3t-3cost, sin3t = 3sint – 4sin3t]
= -cot3t
Hence, the value of 
is -cot3t
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