y=sin4θ ಪರಿಹರಿಸಿ

$$y = \sin 4 \theta$$

θ ಪರಿಹರಿಸಿ (ಸಂಕೀರ್ಣ ಪರಿಹಾರ)

$$\theta =-\frac{i\ln(\sqrt{1-y^{2}}+iy)}{4}+\frac{\pi n_{1}}{2}\text{, }n_{1}\in \mathrm{Z}$$

$$\theta =-\frac{i\ln(-\sqrt{1-y^{2}}+iy)}{4}+\frac{\pi n_{2}}{2}\text{, }n_{2}\in \mathrm{Z}$$

y ಪರಿಹರಿಸಿ

$$y=\sin(4\theta )$$

θ ಪರಿಹರಿಸಿ

$$\theta =\frac{\arcsin(y)+2\pi n_{1}}{4}\text{, }n_{1}\in \mathrm{Z}$$

$$\theta =\frac{-\arcsin(y)+2\pi n_{2}+\pi }{4}\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq 1$$