y=2operatorname{arcctg}pi/2x eching

$$y = 2 \operatorname { arcctg } \frac { \pi } { 2 } x$$

x uchun yechish

$$x=\frac{y}{2\arctan(\frac{2}{\pi })}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2\arccot(\frac{\pi }{2})x=y$$

Ikki tarafini 2\arccot(\frac{1}{2}\pi ) ga bo‘ling.

$$\frac{2\arccot(\frac{\pi }{2})x}{2\arccot(\frac{\pi }{2})}=\frac{y}{2\arccot(\frac{\pi }{2})}$$

2\arccot(\frac{1}{2}\pi ) ga bo'lish 2\arccot(\frac{1}{2}\pi ) ga ko'paytirishni bekor qiladi.

$$x=\frac{y}{2\arccot(\frac{\pi }{2})}$$

y ni 2\arccot(\frac{1}{2}\pi ) ga bo'lish.

$$x=\frac{y}{2\arctan(\frac{2}{\pi })}$$

y uchun yechish

$$y=2\arctan(\frac{2}{\pi })x$$