# Finding the equation of tangent

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Find equation of tangent line in cartesian coordinates. Give in polar coordinates:

r=3-2costheta, at theta=pie divided by 3.

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#### Solution Preview

The transformation formulas to cartesian system are

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<br>x = r cos A, y = r sin A

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<br>where we used A instead of theta convenience,

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<br> r = 3-2Cos(A) at A = pi/3

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<br>If A = pi/3,

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<br> r = 3-2cos(pi/3) = 3-(2x0.5) = 3-1= 2 (because Cos 60 = 0.5)

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<br>Now, x = r cos(pi/3) = 2 x 0.5 = ...

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