Rešite 1/2*981t-20cos15^circ/20sin15^circ=tan15^circ

$$\frac { \frac { 1 } { 2 } \times 981 t - 20 \cos 15 ^ { \circ } } { 20 \sin 15 ^ { \circ } } = \tan 15 ^ { \circ }$$

Rešitev za t

$$t=\frac{517638090205041527491131299117399}{12262500000000000000000000000000000}\approx 0,042213096$$

Koraki za reševanje linearnih enačb

Evaluate trigonometric functions in the problem

$$\frac{\frac{1}{2} \cdot 981 t - 20 \cdot 0,9659258262890683}{20 \cdot 0,25881904510252074} = 0,2679491924311227$$

Pomnožite \frac{1}{2} in 981, da dobite \frac{981}{2}.

$$\frac{\frac{981}{2}t-20\times 0,9659258262890683}{20\times 0,25881904510252074}=0,2679491924311227$$

Pomnožite 20 in 0,9659258262890683, da dobite 19,318516525781366.

$$\frac{\frac{981}{2}t-19,318516525781366}{20\times 0,25881904510252074}=0,2679491924311227$$

Pomnožite 20 in 0,25881904510252074, da dobite 5,1763809020504148.

$$\frac{\frac{981}{2}t-19,318516525781366}{5,1763809020504148}=0,2679491924311227$$

Delite vsak člen \frac{981}{2}t-19,318516525781366 z vrednostjo 5,1763809020504148, da dobite \frac{\frac{981}{2}t}{5,1763809020504148}+\frac{-19,318516525781366}{5,1763809020504148}.

$$\frac{\frac{981}{2}t}{5,1763809020504148}+\frac{-19,318516525781366}{5,1763809020504148}=0,2679491924311227$$

Delite \frac{981}{2}t s/z 5,1763809020504148, da dobite \frac{136250000000000000}{1437883583902893}t.

$$\frac{136250000000000000}{1437883583902893}t+\frac{-19,318516525781366}{5,1763809020504148}=0,2679491924311227$$

Razširite \frac{-19,318516525781366}{5,1763809020504148} tako, da pomnožite števec in imenovalec s številom 10000000000000000.

$$\frac{136250000000000000}{1437883583902893}t+\frac{-193185165257813660}{51763809020504148}=0,2679491924311227$$

Zmanjšajte ulomek \frac{-193185165257813660}{51763809020504148} na najmanjši imenovalec tako, da izpeljete in okrajšate 4.

$$\frac{136250000000000000}{1437883583902893}t-\frac{48296291314453415}{12940952255126037}=0,2679491924311227$$

Dodajte \frac{48296291314453415}{12940952255126037} na obe strani.

$$\frac{136250000000000000}{1437883583902893}t=0,2679491924311227+\frac{48296291314453415}{12940952255126037}$$

Pretvorite decimalno število 0,2679491924311227 v ulomek \frac{2679491924311227}{10000000000}. Zmanjšajte ulomek \frac{2679491924311227}{10000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 1.

$$\frac{136250000000000000}{1437883583902893}t=\frac{2679491924311227}{10000000000000000}+\frac{48296291314453415}{12940952255126037}$$

Najmanjši skupni mnogokratnik 10000000000000000 in 12940952255126037 je 129409522551260370000000000000000. Pretvorite \frac{2679491924311227}{10000000000000000} in \frac{48296291314453415}{12940952255126037} v ulomke z imenovalcem 129409522551260370000000000000000.

$$\frac{136250000000000000}{1437883583902893}t=\frac{34675177060507377491131299117399}{129409522551260370000000000000000}+\frac{482962913144534150000000000000000}{129409522551260370000000000000000}$$

\frac{34675177060507377491131299117399}{129409522551260370000000000000000} in \frac{482962913144534150000000000000000}{129409522551260370000000000000000} imata isti imenovalec, zato ju seštejte tako, da seštejete njuna števca.

$$\frac{136250000000000000}{1437883583902893}t=\frac{34675177060507377491131299117399+482962913144534150000000000000000}{129409522551260370000000000000000}$$

Seštejte 34675177060507377491131299117399 in 482962913144534150000000000000000, da dobite 517638090205041527491131299117399.

$$\frac{136250000000000000}{1437883583902893}t=\frac{517638090205041527491131299117399}{129409522551260370000000000000000}$$

Pomnožite obe strani enačbe z vrednostjo \frac{1437883583902893}{136250000000000000}, obratno vrednostjo vrednosti \frac{136250000000000000}{1437883583902893}.

$$t=\frac{517638090205041527491131299117399}{129409522551260370000000000000000}\times \frac{1437883583902893}{136250000000000000}$$

Pomnožite \frac{517638090205041527491131299117399}{129409522551260370000000000000000} s/z \frac{1437883583902893}{136250000000000000} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

$$t=\frac{517638090205041527491131299117399\times 1437883583902893}{129409522551260370000000000000000\times 136250000000000000}$$

Izvedite množenja v ulomku \frac{517638090205041527491131299117399\times 1437883583902893}{129409522551260370000000000000000\times 136250000000000000}.

$$t=\frac{744303312308674124392241432979420423814622735307}{17632047447609225412500000000000000000000000000000}$$

Zmanjšajte ulomek \frac{744303312308674124392241432979420423814622735307}{17632047447609225412500000000000000000000000000000} na najmanjši imenovalec tako, da izpeljete in okrajšate 1437883583902893.

$$t=\frac{517638090205041527491131299117399}{12262500000000000000000000000000000}$$