θ=6/11+f(sin140^circ) eching

$$\theta = 6 / 11 + f ( \sin 140 ^ { \circ } )$$

f_0 uchun yechish

$$f_{0}=\frac{2000000000000000\theta }{1285575219373079}-\frac{12000000000000000}{14141327413103869}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$\theta = \frac{6}{11} + f 0,6427876096865395$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{6}{11}+f_{0}\times 0,6427876096865395=\theta$$

Ikkala tarafdan \frac{6}{11} ni ayirish.

$$f_{0}\times 0,6427876096865395=\theta -\frac{6}{11}$$

Tenglama standart shaklda.

$$0,6427876096865395f_{0}=\theta -\frac{6}{11}$$

Tenglamaning ikki tarafini 0,6427876096865395 ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{0,6427876096865395f_{0}}{0,6427876096865395}=\frac{\theta -\frac{6}{11}}{0,6427876096865395}$$

0,6427876096865395 ga bo'lish 0,6427876096865395 ga ko'paytirishni bekor qiladi.

$$f_{0}=\frac{\theta -\frac{6}{11}}{0,6427876096865395}$$

\theta -\frac{6}{11} ni 0,6427876096865395 ga bo'lish \theta -\frac{6}{11} ga k'paytirish 0,6427876096865395 ga qaytarish.

$$f_{0}=\frac{2000000000000000\theta }{1285575219373079}-\frac{12000000000000000}{14141327413103869}$$

θ uchun yechish

$$\theta =\frac{1285575219373079f_{0}}{2000000000000000}+\frac{6}{11}$$