Solve cscA/cota=seca

$$\frac { \csc A } { \cot a } = \sec a$$

Solve for A

$$A=2\pi n_{4}+a\text{, }n_{4}\in \mathrm{Z}\text{, }\exists n_{2}\in \mathrm{Z}\text{ : }\left(a>\pi n_{2}-2\pi n_{4}\text{ and }a<\pi n_{2}-2\pi n_{4}+\pi \right)$$

$$A=2\pi n_{3}-a+\pi \text{, }n_{3}\in \mathrm{Z}\text{, }\exists n_{2}\in \mathrm{Z}\text{ : }\left(a>2\pi n_{3}-\pi n_{2}\text{ and }a<\pi +2\pi n_{3}-\pi n_{2}\right)\text{, }\exists n_{1}\in \mathrm{Z}\text{ : }\left(a>\frac{\pi n_{1}}{2}\text{ and }a<\frac{\pi n_{1}}{2}+\frac{\pi }{2}\right)$$

Solve for a

$$a=2\pi n_{4}+A\text{, }n_{4}\in \mathrm{Z}\text{, }\exists n_{2}\in \mathrm{Z}\text{ : }\left(A>\frac{\pi n_{2}}{2}-2\pi n_{4}\text{ and }A<\frac{\pi n_{2}}{2}-2\pi n_{4}+\frac{\pi }{2}\right)$$

$$a=2\pi n_{3}-A+\pi \text{, }n_{3}\in \mathrm{Z}\text{, }\exists n_{2}\in \mathrm{Z}\text{ : }\left(A>-\frac{\pi n_{2}}{2}+2\pi n_{3}+\frac{\pi }{2}\text{ and }A<-\frac{\pi n_{2}}{2}+2\pi n_{3}+\pi \right)\text{, }\nexists n_{1}\in \mathrm{Z}\text{ : }A=\pi n_{1}$$