Решить тригонометрическое уравнение

Развёрнутая форма:
$$x^{\sin{\left(x \right)}} - y^{\cos{\left(y \right)}}$$
График:
Производная:
$$\frac{\partial}{\partial x} \left(x^{\sin{\left(x \right)}} - y^{\cos{\left(y \right)}}\right)=x^{\sin{\left(x \right)}} \left(\log{\left(x \right)} \cos{\left(x \right)} + \frac{\sin{\left(x \right)}}{x}\right)$$
Разложение в ряд:
$$1 - y^{\cos{\left(y \right)}} + x \log{\left(x \right)} + \frac{x^{2} \log{\left(x \right)}^{2}}{2} + x^{3} \left(\frac{\log{\left(x \right)}^{3}}{6} - \frac{\log{\left(x \right)}}{6}\right) + x^{4} \left(\frac{\log{\left(x \right)}^{4}}{24} - \frac{\log{\left(x \right)}^{2}}{6}\right) + x^{5} \left(\frac{\log{\left(x \right)}^{5}}{120} - \frac{\log{\left(x \right)}^{3}}{12} + \frac{\log{\left(x \right)}}{120}\right) + x^{6} \left(\frac{\log{\left(x \right)}^{6}}{720} - \frac{\log{\left(x \right)}^{4}}{36} + \frac{\log{\left(x \right)}^{2}}{45}\right) + x^{7} \left(\frac{\log{\left(x \right)}^{7}}{5040} - \frac{\log{\left(x \right)}^{5}}{144} + \frac{13 \log{\left(x \right)}^{3}}{720} - \frac{\log{\left(x \right)}}{5040}\right) + x^{8} \left(\frac{\log{\left(x \right)}^{8}}{40320} - \frac{\log{\left(x \right)}^{6}}{720} + \frac{\log{\left(x \right)}^{4}}{120} - \frac{\log{\left(x \right)}^{2}}{630}\right) + x^{9} \left(\frac{\log{\left(x \right)}^{9}}{362880} - \frac{\log{\left(x \right)}^{7}}{4320} + \frac{23 \log{\left(x \right)}^{5}}{8640} - \frac{41 \log{\left(x \right)}^{3}}{18144} + \frac{\log{\left(x \right)}}{362880}\right) + O\left(x^{10} \log{\left(x \right)}^{10}\right)$$
Видео - объяснение: