Math Problem Solver

The principal value in $- \frac{\pi}{2} \le x \le \frac{\pi}{2}$ is $x \approx 1.5707963$

The real solutions are: $$\left\{\frac{\pi \left(4 n + 1\right)}{2}\; \middle|\; n \in \mathbb{Z}\right\}$$

The complex solutions are: $$\begin{aligned}x &= \left\{\frac{3 \pi}{2} - i \log{\left(3 + 2 \sqrt{2} \right)} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 4.712389 - 1.7627472 i\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\frac{3 \pi}{2} - i \log{\left(3 - 2 \sqrt{2} \right)} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 4.712389 + 1.7627472 i\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}$$

$i$ is the imaginary unit, defined as $i^2 = -1$.