Question

The curve is given by x=cos2t,y=sint represents

Answer 1

SOLUTION

TO DETERMINE

The curve is given by x=cos2t , y=sint represents

EVALUATION

Here it is given that

$\sf{x = \cos 2t}$

$\sf{y = \sin t}$

Now

$\sf{x = \cos 2t}$

$\sf{ \implies \: x = 1 - 2 { \sin}^{2} t}$

$\sf{ \implies \: x = 1 - 2 {y}^{2} }$

So the required equation of the curve is

$\sf{x = 1 - 2 {y}^{2} }$

Which represents the equation of a parabola

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