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

Question

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx. x = sin t, y = cos 2t

Philoid · Accepted Answer

It is given that

x = sin t, y = cos 2t

Then, we have

= cost ………… (1)

= -2sin2t………… (2)

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

, Since sin2t = 2sintcost

= -4sint

Hence, the value of is -4sint