Parametric equations and finding tangents from circles

  • Thread starter xllx
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  • #1
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Homework Statement


A circle has the parametric equations:
x=1+2cos[tex]\theta[/tex]
y=3+2sin[tex]\theta[/tex]

dy/dx= -1/tan[tex]\theta[/tex]

Find the tangent equation at the point with parameter [tex]\theta[/tex]

Homework Equations


y-y1=m(x-x1)


The Attempt at a Solution


I've tried putting dy/dx in as the gradient and then x1 and y1 as the parametric equations but i seem to come up with some really long equation that im sure isnt right.

Any help at all would be greatly appreciated. Many thanks.
 

Answers and Replies

  • #2
Mentallic
Homework Helper
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You mean you don't think this is right?:

[tex]y-3-2sin\theta=-cot\theta(x-1-2cos\theta)[/tex]

Because it is :tongue:
 

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