Riješi frac{tan63^{circ}+cot23^{circ}}{tan27^circ+cot67^circ}-tan63^circtan67^circ

$$\frac { \tan 63 ^ { \circ } + \cot 23 ^ { \circ } } { \tan 27 ^ { \circ } + \cot 67 ^ { \circ } } - \tan 63 ^ { \circ } \tan 67 ^ { \circ }$$

Izračunaj

$$\frac{962310860074706525646095667393}{729687707581276328125000000000000000000000000}\approx 1,318798234 \cdot 10^{-15}$$

Koraci rješenja

Evaluate trigonometric functions in the problem

$$\frac{1,9626105055051504 + 2,355852365823753}{0,5095254494944288 + 0,4244748162096049} - 1,9626105055051504 \cdot 2,355852365823752$$

Dodajte 1,9626105055051504 broju 2,355852365823753 da biste dobili 4,3184628713289034.

$$\frac{4,3184628713289034}{0,5095254494944288+0,4244748162096049}-1,9626105055051504\times 2,355852365823752$$

Dodajte 0,5095254494944288 broju 0,4244748162096049 da biste dobili 0,9340002657040337.

$$\frac{4,3184628713289034}{0,9340002657040337}-1,9626105055051504\times 2,355852365823752$$

Proširite \frac{4,3184628713289034}{0,9340002657040337} tako da i brojnik i nazivnik pomnožite sa 10000000000000000.

$$\frac{43184628713289034}{9340002657040337}-1,9626105055051504\times 2,355852365823752$$

Pomnožite 1,9626105055051504 i 2,355852365823752 da biste dobili 4,6236206025848584186515746523008.

$$\frac{43184628713289034}{9340002657040337}-4,6236206025848584186515746523008$$

Pretvorite decimalni broj 4,6236206025848584186515746523008 u razlomak \frac{361220359576942063957154269711}{10000000000}. Skratite razlomak \frac{361220359576942063957154269711}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$\frac{43184628713289034}{9340002657040337}-\frac{361220359576942063957154269711}{78125000000000000000000000000}$$

Najmanji zajednički višekratnik brojeva 9340002657040337 i 78125000000000000000000000000 je 729687707581276328125000000000000000000000000. Pretvorite \frac{43184628713289034}{9340002657040337} i \frac{361220359576942063957154269711}{78125000000000000000000000000} u razlomak s nazivnikom 729687707581276328125000000000000000000000000.

$$\frac{3373799118225705781250000000000000000000000000}{729687707581276328125000000000000000000000000}-\frac{3373799118225704818939139925293474353904332607}{729687707581276328125000000000000000000000000}$$

Budući da \frac{3373799118225705781250000000000000000000000000}{729687707581276328125000000000000000000000000} i \frac{3373799118225704818939139925293474353904332607}{729687707581276328125000000000000000000000000} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

$$\frac{3373799118225705781250000000000000000000000000-3373799118225704818939139925293474353904332607}{729687707581276328125000000000000000000000000}$$

Oduzmite 3373799118225704818939139925293474353904332607 od 3373799118225705781250000000000000000000000000 da biste dobili 962310860074706525646095667393.

$$\frac{962310860074706525646095667393}{729687707581276328125000000000000000000000000}$$