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

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

Calcular

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}\approx 0.673531172$$

Pasos da solución

Evaluate trigonometric functions in the problem

$$\frac{0.7002075382097092 \cdot -0.7002075382097102}{-1.4281480067421146 + 0.7002075382097097}$$

Multiplica 0.7002075382097092 e -0.7002075382097102 para obter -0.49029059656570206950741535827384.

$$\frac{-0.49029059656570206950741535827384}{-1.4281480067421146+0.7002075382097097}$$

Suma -1.4281480067421146 e 0.7002075382097097 para obter -0.7279404685324049.

$$\frac{-0.49029059656570206950741535827384}{-0.7279404685324049}$$

Expande \frac{-0.49029059656570206950741535827384}{-0.7279404685324049} multiplicando o numerador e o denominador por 100000000000000000000000000000000.

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

Reduce a fracción \frac{-49029059656570206950741535827384}{-72794046853240490000000000000000} a termos máis baixos extraendo e cancelando -8.

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

Factorizar

$$\frac{11 \cdot 19 \cdot 41 \cdot 16127 \cdot 12667271 \cdot 3501037691048551}{17 \cdot 5639 \cdot 75935498423 \cdot 2 ^ {13} \cdot 5 ^ {16}} = 0.673531171517601$$