다음을 풀어보세요: tan215^circtan145^circ/tan305^circ+tan35=

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

계산

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

해답 단계

Evaluate trigonometric functions in the problem

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

0.7002075382097092과(와) -0.7002075382097102을(를) 곱하여 -0.49029059656570206950741535827384(을)를 구합니다.

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

-1.4281480067421146과(와) 0.7002075382097097을(를) 더하여 -0.7279404685324049을(를) 구합니다.

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

분자와 분모 모두에 100000000000000000000000000000000을(를) 곱하여 \frac{-0.49029059656570206950741535827384}{-0.7279404685324049}을(를) 확장합니다.

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

-8을(를) 추출 및 상쇄하여 분수 \frac{-49029059656570206950741535827384}{-72794046853240490000000000000000}을(를) 기약 분수로 약분합니다.

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

인수 분해

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