Selesaikan tan215^circtan145^circ/tan305^circ+tan35=

$$\frac { \tan 215 ^ { \circ } \tan 145 ^ { \circ } } { \tan 305 ^ { \circ } + \tan 35 } =$$

Evaluasi

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}\approx 0,673531172$$

Langkah Solusi

Evaluate trigonometric functions in the problem

$$\frac{0,7002075382097092 \cdot -0,7002075382097102}{-1,4281480067421146 + 0,7002075382097097}$$

Kalikan 0,7002075382097092 dan -0,7002075382097102 untuk mendapatkan -0,49029059656570206950741535827384.

$$\frac{-0,49029059656570206950741535827384}{-1,4281480067421146+0,7002075382097097}$$

Tambahkan -1,4281480067421146 dan 0,7002075382097097 untuk mendapatkan -0,7279404685324049.

$$\frac{-0,49029059656570206950741535827384}{-0,7279404685324049}$$

Kembangkan \frac{-0,49029059656570206950741535827384}{-0,7279404685324049} dengan mengalikan pembilang dan penyebut dengan 100000000000000000000000000000000.

$$\frac{-49029059656570206950741535827384}{-72794046853240490000000000000000}$$

Kurangi pecahan \frac{-49029059656570206950741535827384}{-72794046853240490000000000000000} ke suku terendah dengan mengekstraksi dan membatalkan -8.

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}$$

Faktor

$$\frac{11 \cdot 19 \cdot 41 \cdot 16127 \cdot 12667271 \cdot 3501037691048551}{17 \cdot 5639 \cdot 75935498423 \cdot 2 ^ {13} \cdot 5 ^ {16}} = 0,673531171517601$$