Mark F.

asked • 03/18/18

X= cot 2t and Y = csc 2t convert parametric equation to recatngular

This is a parameteric equation that is needed to be converted to parameteric. Since it has trig in it I suspect that it should be a conic eauaequa

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Bobosharif S. answered • 03/18/18

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x=cot(2t), y=csc(2t)
x2-y2=(cos2(2t)-1)/sin2(2t)=-1
x2-y2=-1 (parabola,conjugate)
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Mark F.

Can you please explain how you converted csc 2t and cot2t to the next step
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03/18/18

Bobosharif S.

cot2(2t)-csc2(2t)=cos2(2t)/sin2(2t)-1/sin2(2t)=(cos2(2t)-1)/sin2(2t)=
=-(1-cos2(2t)/sin2(2t)=-sin2(2t)/sin2(2t)=-1
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03/18/18

Bobosharif S.

cot(2t)=cos(2t)/sin(2t)
cot2(2t)-csc2(2t) =cos2(2t)/sin2(2t)-1/sin2(2t)=(cos2(2t)-1)/sin2(2t)=-1
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03/18/18

Mark F.

Thank you so much for your help
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03/18/18

Bobosharif S.

cot2(2t)-csc2(2t)=cos2(2t)/sin2(2t)-1/sin2(2t)=(cos2(2t)-1)/sin2(2t)=-1
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03/18/18

Bobosharif S.

You are welcome.
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03/18/18

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