phi=(4500N*C^{-1})(12336*10^{-4}m^2)cos{tan^-1(185*10^-2m)/(frac{122{2}*10^-2m)}} eching

$$\phi = ( 4500 N \cdot C ^ { - 1 } ) ( 12336 \times 10 ^ { - 4 } m ^ { 2 } ) \cos \{ \tan ^ { - 1 } \frac { ( 185 \times 10 ^ { - 2 } m ) } { ( \frac { 122 } { 2 } \times 10 ^ { - 2 } m ) } \}$$

N uchun yechish

$$N=\frac{5\sqrt{37946}Cϕ}{1693116m^{2}}$$

$$C\neq 0\text{ and }m\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

55512000 hosil qilish uchun 4500 va 12336 ni ko'paytirish.

$$ϕ=55512000NC^{-1}\times 10^{-4}m^{2}\cos(\arctan(\frac{185\times 10^{-2}m}{\frac{122}{2}\times 10^{-2}m}))$$

-4 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10000} ni qiymatni oling.

$$ϕ=55512000NC^{-1}\times \frac{1}{10000}m^{2}\cos(\arctan(\frac{185\times 10^{-2}m}{\frac{122}{2}\times 10^{-2}m}))$$

\frac{27756}{5} hosil qilish uchun 55512000 va \frac{1}{10000} ni ko'paytirish.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185\times 10^{-2}m}{\frac{122}{2}\times 10^{-2}m}))$$

-2 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100} ni qiymatni oling.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185\times \frac{1}{100}m}{\frac{122}{2}\times 10^{-2}m}))$$

\frac{37}{20} hosil qilish uchun 185 va \frac{1}{100} ni ko'paytirish.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{\frac{122}{2}\times 10^{-2}m}))$$

61 ni olish uchun 122 ni 2 ga bo‘ling.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{61\times 10^{-2}m}))$$

-2 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{100} ni qiymatni oling.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{61\times \frac{1}{100}m}))$$

\frac{61}{100} hosil qilish uchun 61 va \frac{1}{100} ni ko'paytirish.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}m}{\frac{61}{100}m}))$$

Surat va maxrajdagi ikkala m ni qisqartiring.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{\frac{37}{20}}{\frac{61}{100}}))$$

\frac{37}{20} ni \frac{61}{100} ga bo'lish \frac{37}{20} ga k'paytirish \frac{61}{100} ga qaytarish.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{37}{20}\times \frac{100}{61}))$$

\frac{185}{61} hosil qilish uchun \frac{37}{20} va \frac{100}{61} ni ko'paytirish.

$$ϕ=\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185}{61}))$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{27756}{5}NC^{-1}m^{2}\cos(\arctan(\frac{185}{61}))=ϕ$$

Tenglama standart shaklda.

$$\frac{27756\cos(\arctan(\frac{185}{61}))m^{2}}{5C}N=ϕ$$

Ikki tarafini \frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61})) ga bo‘ling.

$$\frac{\frac{27756\cos(\arctan(\frac{185}{61}))m^{2}}{5C}N\times 5C}{27756\cos(\arctan(\frac{185}{61}))m^{2}}=\frac{ϕ\times 5C}{27756\cos(\arctan(\frac{185}{61}))m^{2}}$$

\frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61})) ga bo'lish \frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61})) ga ko'paytirishni bekor qiladi.

$$N=\frac{ϕ\times 5C}{27756\cos(\arctan(\frac{185}{61}))m^{2}}$$

ϕ ni \frac{27756}{5}C^{-1}m^{2}\cos(\arctan(\frac{185}{61})) ga bo'lish.

$$N=\frac{5\sqrt{37946}Cϕ}{1693116m^{2}}$$

C uchun yechish

$$\left\{\begin{matrix}C=\frac{846558\sqrt{37946}Nm^{2}}{94865ϕ}\text{, }&m\neq 0\text{ and }N\neq 0\text{ and }ϕ\neq 0\\C\neq 0\text{, }&m\neq 0\text{ and }ϕ=0\text{ and }N=0\end{matrix}\right,$$