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## Homework Statement

Find the line tangent to the point 2pi/3 when x=cost y=sqrt3 cost.

Also find the value of d

^{2}y/dx

^{2}at the point given.

## Homework Equations

I found dy/dx to be -sqrt3 sint/ -sint. I found that to be just sqrt3. This matched what my calculator told me the slope was. The equation of the tangent is y=sqrt3 x or at least I think.

I am having trouble with the second derivative. I believe that it is 0. When I applied the quotient rule to dy/dx I got sqrt3 sintcost-sqrt3 sintcost/sin

^{2}t. I then multiplied by dt/dx. Either way, the numerator is still 0.

Am I right, on the right path, or completely wrong.