# First find point of contact!

Calculus Level 5

A curve is parametrically represented as $\begin{cases} x = \cos t+\ln \left(\tan \left(\dfrac{t}{2}\right)\right) \\ y = \sin t \end{cases}$ where $$t$$ is a parameter.

Find the length of tangent to the curve at the point where its $$x$$ coordinate is equal to $$y$$ coordinate.

The length of tangent is defined as the distance between point of contact with the curve and point where the tangent meets the $$x$$-axis.

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