A line is defined by the parametric equations: x = cos2t and #y = sin^2t# how do you find the cartesian equation of the line?

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Answer 1 · 2016-10-21T15:23:27

The equation of the line is #2y+x=1#

Use the fact that #cos2t=1-2sin^2t#

#x=cos2t=1-2sin^2t#

Then as #y=sin^2t#

We have to eliminate #sin^2t# between the 2 equations

We finally get

#x=1-2y#

tht is
#2y+x=1#