operatorname(Tan) 65=x cot 70^circ sin x dirinden degere

It seems like there might be a typo in your question. Let's break down the given expression:<br /><br />$\overline{100}65 = x$<br /><br />This expression is not clear. If you meant to write $100\overline{65} = x$, where $\overline{65}$ represents a repeating decimal, then $x$ would be $100.656565...$. However, this doesn't seem to relate to the cot 70' in x.<br /><br />For the cot 70' in x, it seems like there might be a typo. If you meant cot 70°, then cot 70° is the reciprocal of tan 70°. <br /><br />So, the correct answer is: cot 70° = $\frac{1}{\tan 70°}$.