operatorname{lom}(x-pi/2)=cosx eching

$$\operatorname { lom } ( x - \frac { \pi } { 2 } ) = \cos x$$

l uchun yechish (complex solution)

$$\left\{\begin{matrix}l=\frac{2\cos(x)}{mo\left(2x-\pi \right)}\text{, }&x\neq \frac{\pi }{2}\text{ and }m\neq 0\text{ and }o\neq 0\\l\in \mathrm{C}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ or }x=\frac{\pi }{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2lom\left(x-\frac{\pi }{2}\right)=2\cos(x)$$

2lom ga x-\frac{\pi }{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2lomx+2lom\left(-\frac{\pi }{2}\right)=2\cos(x)$$

2\left(-\frac{\pi }{2}\right) ni yagona kasrga aylantiring.

$$2lomx+\frac{-2\pi }{2}lom=2\cos(x)$$

2 va 2 ni qisqartiring.

$$2lomx-\pi lom=2\cos(x)$$

l'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2omx-\pi om\right)l=2\cos(x)$$

Tenglama standart shaklda.

$$\left(2mox-\pi mo\right)l=2\cos(x)$$

Ikki tarafini 2mox-mo\pi ga bo‘ling.

$$\frac{\left(2mox-\pi mo\right)l}{2mox-\pi mo}=\frac{2\cos(x)}{2mox-\pi mo}$$

2mox-mo\pi ga bo'lish 2mox-mo\pi ga ko'paytirishni bekor qiladi.

$$l=\frac{2\cos(x)}{2mox-\pi mo}$$

2\cos(x) ni 2mox-mo\pi ga bo'lish.

$$l=\frac{2\cos(x)}{mo\left(2x-\pi \right)}$$

m uchun yechish (complex solution)

$$\left\{\begin{matrix}m=\frac{2\cos(x)}{lo\left(2x-\pi \right)}\text{, }&x\neq \frac{\pi }{2}\text{ and }o\neq 0\text{ and }l\neq 0\\m\in \mathrm{C}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ or }x=\frac{\pi }{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2lom\left(x-\frac{\pi }{2}\right)=2\cos(x)$$

2lom ga x-\frac{\pi }{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2lomx+2lom\left(-\frac{\pi }{2}\right)=2\cos(x)$$

2\left(-\frac{\pi }{2}\right) ni yagona kasrga aylantiring.

$$2lomx+\frac{-2\pi }{2}lom=2\cos(x)$$

2 va 2 ni qisqartiring.

$$2lomx-\pi lom=2\cos(x)$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2lox-\pi lo\right)m=2\cos(x)$$

Ikki tarafini 2olx-ol\pi ga bo‘ling.

$$\frac{\left(2lox-\pi lo\right)m}{2lox-\pi lo}=\frac{2\cos(x)}{2lox-\pi lo}$$

2olx-ol\pi ga bo'lish 2olx-ol\pi ga ko'paytirishni bekor qiladi.

$$m=\frac{2\cos(x)}{2lox-\pi lo}$$

2\cos(x) ni 2olx-ol\pi ga bo'lish.

$$m=\frac{2\cos(x)}{lo\left(2x-\pi \right)}$$

l uchun yechish

$$\left\{\begin{matrix}l=\frac{2\cos(x)}{mo\left(2x-\pi \right)}\text{, }&x\neq \frac{\pi }{2}\text{ and }m\neq 0\text{ and }o\neq 0\\l\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ or }x=\frac{\pi }{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2lom\left(x-\frac{\pi }{2}\right)=2\cos(x)$$

2lom ga x-\frac{\pi }{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2lomx+2lom\left(-\frac{\pi }{2}\right)=2\cos(x)$$

2\left(-\frac{\pi }{2}\right) ni yagona kasrga aylantiring.

$$2lomx+\frac{-2\pi }{2}lom=2\cos(x)$$

2 va 2 ni qisqartiring.

$$2lomx-\pi lom=2\cos(x)$$

l'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2omx-\pi om\right)l=2\cos(x)$$

Tenglama standart shaklda.

$$\left(2mox-\pi mo\right)l=2\cos(x)$$

Ikki tarafini 2omx-\pi om ga bo‘ling.

$$\frac{\left(2mox-\pi mo\right)l}{2mox-\pi mo}=\frac{2\cos(x)}{2mox-\pi mo}$$

2omx-\pi om ga bo'lish 2omx-\pi om ga ko'paytirishni bekor qiladi.

$$l=\frac{2\cos(x)}{2mox-\pi mo}$$

2\cos(x) ni 2omx-\pi om ga bo'lish.

$$l=\frac{2\cos(x)}{mo\left(2x-\pi \right)}$$

m uchun yechish

$$\left\{\begin{matrix}m=\frac{2\cos(x)}{lo\left(2x-\pi \right)}\text{, }&x\neq \frac{\pi }{2}\text{ and }l\neq 0\text{ and }o\neq 0\\m\in \mathrm{R}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ or }x=\frac{\pi }{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2lom\left(x-\frac{\pi }{2}\right)=2\cos(x)$$

2lom ga x-\frac{\pi }{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2lomx+2lom\left(-\frac{\pi }{2}\right)=2\cos(x)$$

2\left(-\frac{\pi }{2}\right) ni yagona kasrga aylantiring.

$$2lomx+\frac{-2\pi }{2}lom=2\cos(x)$$

2 va 2 ni qisqartiring.

$$2lomx-\pi lom=2\cos(x)$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2lox-\pi lo\right)m=2\cos(x)$$

Ikki tarafini 2lox-\pi lo ga bo‘ling.

$$\frac{\left(2lox-\pi lo\right)m}{2lox-\pi lo}=\frac{2\cos(x)}{2lox-\pi lo}$$

2lox-\pi lo ga bo'lish 2lox-\pi lo ga ko'paytirishni bekor qiladi.

$$m=\frac{2\cos(x)}{2lox-\pi lo}$$

2\cos(x) ni 2lox-\pi lo ga bo'lish.

$$m=\frac{2\cos(x)}{lo\left(2x-\pi \right)}$$