Riješi 1/sin^220^circ-tan^2110^circ

$$\frac { 1 } { \sin ^ { 2 } 20 ^ { \circ } } - \tan ^ { 2 } 110 ^ { \circ }$$

Izračunaj

$$\frac{30128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}\approx 16,097264341$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{1}{0,3420201433256687 ^ {2}} - -2,7474774194546225 ^ {2}$$

Izračunajte koliko je 2 na 0,3420201433256687 da biste dobili 0,11697777844051095979530830215969.

$$\frac{1}{0,11697777844051095979530830215969}-\left(-2,7474774194546225^{2}\right)$$

Proširite \frac{1}{0,11697777844051095979530830215969} tako da i brojnik i nazivnik pomnožite sa 100000000000000000000000000000000.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}-\left(-2,7474774194546225^{2}\right)$$

Izračunajte koliko je 2 na 2,7474774194546225 da biste dobili 7,54863217041303166704533661750625.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}-\left(-7,54863217041303166704533661750625\right)$$

Broj suprotan broju -7,54863217041303166704533661750625 jest 7,54863217041303166704533661750625.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}+7,54863217041303166704533661750625$$

Pretvorite decimalni broj 7,54863217041303166704533661750625 u razlomak \frac{1207781147266085066727253858801}{10000000000}. Skratite razlomak \frac{1207781147266085066727253858801}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}+\frac{1207781147266085066727253858801}{160000000000000000000000000000}$$

Najmanji zajednički višekratnik brojeva 11697777844051095979530830215969 i 160000000000000000000000000000 je 1871644455048175356724932834555040000000000000000000000000000. Pretvorite \frac{100000000000000000000000000000000}{11697777844051095979530830215969} i \frac{1207781147266085066727253858801}{160000000000000000000000000000} u razlomak s nazivnikom 1871644455048175356724932834555040000000000000000000000000000.

$$\frac{16000000000000000000000000000000000000000000000000000000000000}{1871644455048175356724932834555040000000000000000000000000000}+\frac{14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}$$

Budući da \frac{16000000000000000000000000000000000000000000000000000000000000}{1871644455048175356724932834555040000000000000000000000000000} i \frac{14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000} imaju isti nazivnik, zbrojite ih zbrajanjem njihovih brojnika.

$$\frac{16000000000000000000000000000000000000000000000000000000000000+14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}$$

Dodajte 16000000000000000000000000000000000000000000000000000000000000 broju 14128355544951823826959762297674094096820918803064623461393169 da biste dobili 30128355544951823826959762297674094096820918803064623461393169.

$$\frac{30128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}$$