NEW FUNCTION

Function Expression :

\[f(x)=ln(\frac{sin(\frac{x}{2} )}{cos(\frac{x}{2} )} ) \]

Domain

\[\left]0, \pi\right[ \setminus \left]\left\{4 n \pi\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{4 n \pi + \pi\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{4 n \pi + 3 \pi\; \middle|\; n \in \mathbb{Z}\right\} \cup \left\{4 n \pi + 2 \pi\; \middle|\; n \in \mathbb{Z}\right\}\right[ \]

Limits

\[ \]

Derivate

\[ \]

Integral

\[F(x) = \int \log{\left(\frac{\sin{\left(\frac{x}{2} \right)}}{\cos{\left(\frac{x}{2} \right)}} \right)}\, dx \]

Sign Table


Variation Table


Plot


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