แก้โจทย์ log_{left(tan(x)right)}({cot(x)})=y

$$\log_{ \left( \tan ( x ) \right) }({ \cot ( x ) }) =y$$

หาค่า x

$$x\in \left(\pi n_{1},\pi n_{1}+\frac{\pi }{4}\right)\cup \left(\pi n_{1}+\frac{\pi }{4},\pi n_{1}+\frac{\pi }{2}\right)$$

$$n_{1}\in \mathrm{Z}$$

$$y=-1$$

หาค่า y

$$y=\log_{\tan(x)}\left(\cot(x)\right)$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(\left(x>\pi n_{1}+\frac{\pi }{4}\text{ and }x<\pi n_{1}+\frac{\pi }{2}\right)\text{ or }\left(x>\pi n_{1}\text{ and }x<\pi n_{1}+\frac{\pi }{4}\right)\right)$$