Riješi 3eta/sin25^circ=C/sin100^circ

$$\frac { 3 \eta } { \sin 25 ^ { \circ } } = \frac { C } { \sin 100 ^ { \circ } }$$

Izračunaj C

$$C=\frac{12310096912652600\eta }{1760909423919581}$$

Koraci rješavanja linearne jednadžbe

Evaluate trigonometric functions in the problem

$$\frac{3 \eta}{0,42261826174069944} = \frac{C}{0,984807753012208}$$

Podijelite 3\eta s 0,42261826174069944 da biste dobili \frac{12500000000000000}{1760909423919581}\eta .

$$\frac{12500000000000000}{1760909423919581}\eta =\frac{C}{0,984807753012208}$$

Zamijenite strane tako da svi izrazi s nepoznanicama budu s lijeve strane.

$$\frac{C}{0,984807753012208}=\frac{12500000000000000}{1760909423919581}\eta$$

Jednadžba je u standardnom obliku.

$$\frac{62500000000000}{61550484563263}C=\frac{12500000000000000\eta }{1760909423919581}$$

Podijelite obje strane jednadžbe s \frac{62500000000000}{61550484563263}, što je isto kao da pomnožite obje strane recipročnim razlomkom.

$$\frac{\frac{62500000000000}{61550484563263}C}{\frac{62500000000000}{61550484563263}}=\frac{12500000000000000\eta }{\frac{62500000000000}{61550484563263}\times 1760909423919581}$$

Dijeljenjem s \frac{62500000000000}{61550484563263} poništava se množenje s \frac{62500000000000}{61550484563263}.

$$C=\frac{12500000000000000\eta }{\frac{62500000000000}{61550484563263}\times 1760909423919581}$$

Podijelite \frac{12500000000000000\eta }{1760909423919581} s \frac{62500000000000}{61550484563263} tako da pomnožite \frac{12500000000000000\eta }{1760909423919581} s brojem recipročnim broju \frac{62500000000000}{61550484563263}.

$$C=\frac{12310096912652600\eta }{1760909423919581}$$

Izračunaj η

$$\eta =\frac{1760909423919581C}{12310096912652600}$$

Koraci rješavanja linearne jednadžbe

Evaluate trigonometric functions in the problem

$$\frac{3 \eta}{0,42261826174069944} = \frac{C}{0,984807753012208}$$

Podijelite 3\eta s 0,42261826174069944 da biste dobili \frac{12500000000000000}{1760909423919581}\eta .

$$\frac{12500000000000000}{1760909423919581}\eta =\frac{C}{0,984807753012208}$$

Jednadžba je u standardnom obliku.

$$\frac{12500000000000000}{1760909423919581}\eta =\frac{62500000000000C}{61550484563263}$$

Podijelite obje strane jednadžbe s \frac{12500000000000000}{1760909423919581}, što je isto kao da pomnožite obje strane recipročnim razlomkom.

$$\frac{\frac{12500000000000000}{1760909423919581}\eta }{\frac{12500000000000000}{1760909423919581}}=\frac{62500000000000C}{\frac{12500000000000000}{1760909423919581}\times 61550484563263}$$

Dijeljenjem s \frac{12500000000000000}{1760909423919581} poništava se množenje s \frac{12500000000000000}{1760909423919581}.

$$\eta =\frac{62500000000000C}{\frac{12500000000000000}{1760909423919581}\times 61550484563263}$$

Podijelite \frac{62500000000000C}{61550484563263} s \frac{12500000000000000}{1760909423919581} tako da pomnožite \frac{62500000000000C}{61550484563263} s brojem recipročnim broju \frac{12500000000000000}{1760909423919581}.

$$\eta =\frac{1760909423919581C}{12310096912652600}$$