If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.

x = cos θ – cos 2θ, y = sin θ – sin 2θ


It is given that

x = cos θ – cos 2θ, y = sin θ – sin 2θ


Then, we have




= -sinθ – (-2sin2θ)


= 2sin2θ - sinθ …………… (1)




= cosθ – 2cos2θ


= -bsinƟ ………… (2)


From equation (1) and (2), we get,



Hence, the value of is


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