Given a random variable $x$ and expectation $\Bbb E$, does the following inequality hold?
$$\Bbb E \left[ \frac{1}{\tan(x)} \right] \leq \frac{1}{\tan(\Bbb E[x])}$$
Given a random variable $x$ and expectation $\Bbb E$, does the following inequality hold?
$$\Bbb E \left[ \frac{1}{\tan(x)} \right] \leq \frac{1}{\tan(\Bbb E[x])}$$
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