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

x = a (θ – sin θ), y = a (1 + cos θ)

It is given that


x = a (θ – sin θ), y = a (1 + cos θ)


Then, we have



= a(1-cosθ) …………………… (1)



= a[0 + (-sinθ)]


= -asinƟ …………………… (2)


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





Hence, the value of is


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