Whakaoti i te frac{tan63^{circ}+cot23^{circ}}{tan27^circ+cot67^circ}-tan63^circtan67^circ

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

Aromātai

$$\frac{962310860074706525646095667393}{729687707581276328125000000000000000000000000}\approx 1.318798234 \cdot 10^{-15}$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$\frac{1.9626105055051504 + 2.355852365823753}{0.5095254494944288 + 0.4244748162096049} - 1.9626105055051504 \cdot 2.355852365823752$$

Tāpirihia te 1.9626105055051504 ki te 2.355852365823753, ka 4.3184628713289034.

$$\frac{4.3184628713289034}{0.5095254494944288+0.4244748162096049}-1.9626105055051504\times 2.355852365823752$$

Tāpirihia te 0.5095254494944288 ki te 0.4244748162096049, ka 0.9340002657040337.

$$\frac{4.3184628713289034}{0.9340002657040337}-1.9626105055051504\times 2.355852365823752$$

Whakarohaina te \frac{4.3184628713289034}{0.9340002657040337} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\frac{43184628713289034}{9340002657040337}-1.9626105055051504\times 2.355852365823752$$

Whakareatia te 1.9626105055051504 ki te 2.355852365823752, ka 4.6236206025848584186515746523008.

$$\frac{43184628713289034}{9340002657040337}-4.6236206025848584186515746523008$$

Me tahuri ki tau ā-ira 4.6236206025848584186515746523008 ki te hautau \frac{361220359576942063957154269711}{10000000000}. Whakahekea te hautanga \frac{361220359576942063957154269711}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

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

Ko te maha noa iti rawa atu o 9340002657040337 me 78125000000000000000000000000 ko 729687707581276328125000000000000000000000000. Me tahuri \frac{43184628713289034}{9340002657040337} me \frac{361220359576942063957154269711}{78125000000000000000000000000} ki te hautau me te tautūnga 729687707581276328125000000000000000000000000.

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

Tā te mea he rite te tauraro o \frac{3373799118225705781250000000000000000000000000}{729687707581276328125000000000000000000000000} me \frac{3373799118225704818939139925293474353904332607}{729687707581276328125000000000000000000000000}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 3373799118225704818939139925293474353904332607 i te 3373799118225705781250000000000000000000000000, ka 962310860074706525646095667393.

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