Vyriešiť sin(sin^-11/5+cos^-1x)=1

$$\sin ( \sin ^ { - 1 } \frac { 1 } { 5 } + \cos ^ { - 1 } x ) = 1$$

Riešenie pre x (complex solution)

$$x=\cos(\frac{500000000000000000-872662853805933\pi }{1745325707611866})\approx -0,560134263$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(2\pi n_{1}+\frac{\pi }{2}-\frac{250000000000000000}{872662853805933}\geq 0\text{ and }2\pi n_{1}+\frac{\pi }{2}-\frac{250000000000000000}{872662853805933}\leq \pi \right)$$

Riešenie pre x

$$x=\cos(\frac{500000000000000000-872662853805933\pi }{1745325707611866})$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }\left(-\left(-2\pi n_{1}-\frac{\pi }{2}+\frac{250000000000000000}{872662853805933}\right)\geq 0\text{ and }-\left(-2\pi n_{1}-\frac{\pi }{2}+\frac{250000000000000000}{872662853805933}\right)\leq \pi \right)$$