(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the equations of the tangents of the equation [tex] x^2+(y-4)^2=4[/tex] that pass through the origin.

3. The attempt at a solution

Ok, I don't know if im overcomplicating this (takes a deep breath):

The equation of tangent that pass through the origin has the form

[tex]y=mx[/tex]

And the derivative of the curve is given by

[tex] \frac{dx}{dy}=\frac{1}{2}(4-(y-4)^2)^\frac{-1}{2}(2y+8)[/tex]

[tex]\frac{dy}{dx}=\frac{2x}{2y+8}[/tex]

Then equate m=dy/dx and y=mx into the equation of the curve

Here is where it gets really confusing and where I start to doubt my workings.

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# Homework Help: Equations of tangents

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