alpha=a2ctan(-alpha3) eching

$$\alpha = a 2 c \tan ( - \alpha 3 )$$

a_2 uchun yechish

$$\left\{\begin{matrix}a_{2}=-\frac{\alpha \cot(\alpha _{3})}{c}\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }\left(\alpha _{3}>\frac{\pi n_{2}}{2}\text{ and }\alpha _{3}<\frac{\pi n_{2}}{2}+\frac{\pi }{2}\right)\text{ and }c\neq 0\\a_{2}\in \mathrm{R}\text{, }&\left(c=0\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }\alpha _{3}=\pi n_{1}\right)\text{ and }\exists n_{3}\in \mathrm{Z}\text{ : }\left(\alpha _{3}>\pi n_{3}+\frac{\pi }{2}\text{ and }\alpha _{3}<\pi n_{3}+\frac{3\pi }{2}\right)\text{ and }\alpha =0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a_{2}c\tan(-\alpha _{3})=\alpha$$

Tenglama standart shaklda.

$$c\tan(-\alpha _{3})a_{2}=\alpha$$

Ikki tarafini c\tan(-\alpha _{3}) ga bo‘ling.

$$\frac{c\tan(-\alpha _{3})a_{2}}{c\tan(-\alpha _{3})}=\frac{\alpha }{c\tan(-\alpha _{3})}$$

c\tan(-\alpha _{3}) ga bo'lish c\tan(-\alpha _{3}) ga ko'paytirishni bekor qiladi.

$$a_{2}=\frac{\alpha }{c\tan(-\alpha _{3})}$$

\alpha ni c\tan(-\alpha _{3}) ga bo'lish.

$$a_{2}=-\frac{\alpha \cot(\alpha _{3})}{c}$$

c uchun yechish

$$\left\{\begin{matrix}c=-\frac{\alpha \cot(\alpha _{3})}{a_{2}}\text{, }&\exists n_{2}\in \mathrm{Z}\text{ : }\left(\alpha _{3}>\frac{\pi n_{2}}{2}\text{ and }\alpha _{3}<\frac{\pi n_{2}}{2}+\frac{\pi }{2}\right)\text{ and }a_{2}\neq 0\\c\in \mathrm{R}\text{, }&\left(a_{2}=0\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }\alpha _{3}=\pi n_{1}\right)\text{ and }\exists n_{3}\in \mathrm{Z}\text{ : }\left(\alpha _{3}>\pi n_{3}+\frac{\pi }{2}\text{ and }\alpha _{3}<\pi n_{3}+\frac{3\pi }{2}\right)\text{ and }\alpha =0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a_{2}c\tan(-\alpha _{3})=\alpha$$

Tenglama standart shaklda.

$$a_{2}\tan(-\alpha _{3})c=\alpha$$

Ikki tarafini a_{2}\tan(-\alpha _{3}) ga bo‘ling.

$$\frac{a_{2}\tan(-\alpha _{3})c}{a_{2}\tan(-\alpha _{3})}=\frac{\alpha }{a_{2}\tan(-\alpha _{3})}$$

a_{2}\tan(-\alpha _{3}) ga bo'lish a_{2}\tan(-\alpha _{3}) ga ko'paytirishni bekor qiladi.

$$c=\frac{\alpha }{a_{2}\tan(-\alpha _{3})}$$

\alpha ni a_{2}\tan(-\alpha _{3}) ga bo'lish.

$$c=-\frac{\alpha \cot(\alpha _{3})}{a_{2}}$$