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Solve $$$\cos{\left(2 x \right)} = 0$$$ for $$$x$$$

The calculator will try to solve the equation $$$\cos{\left(2 x \right)} = 0$$$ for $$$x$$$ (find the real and complex roots).
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Solve the equation $$$\cos{\left(2 x \right)} = 0$$$ for $$$x$$$.

Answer

Real roots

$$$x\in\left\{\pi \left(n - \frac{1}{4}\right)\; \middle|\; n \in \mathbb{Z}\right\}\approx \left\{3.141592653589793 n - 0.785398163397448\; \middle|\; n \in \mathbb{Z}\right\}$$$

$$$x\in\left\{\pi \left(n + \frac{1}{4}\right)\; \middle|\; n \in \mathbb{Z}\right\}\approx \left\{3.141592653589793 n + 0.785398163397448\; \middle|\; n \in \mathbb{Z}\right\}$$$

Complex roots

It seems that there are no complex roots.