다음을 풀어보세요: frac{2sin(pi-60^{circ})cos(2pi-60^circ)tan(-60^circ+pi)}{tan(pi+60^circ)sin(-pi-60^circ)}=

$$\frac{ 2 \sin ( \pi -60 ^ { \circ } ) \cos ( 2 \pi -60 ^ { \circ } ) \tan ( -60 ^ { \circ } + \pi ) }{ \tan ( \pi +60 ^ { \circ } ) \sin ( - \pi -60 ^ { \circ } ) } =$$

계산

$$\frac{2233401796555697639851657845413273164874898249}{1172496512795457470904032307720312500000000000}\approx 1.904825961$$

해답 단계

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot -0.30481062110221346 \cdot -0.9524129804151562 \cdot -0.3200403893795592}{0.32004038937956675 \cdot -0.30481062110221996}$$

2과(와) -0.30481062110221346을(를) 곱하여 -0.60962124220442692(을)를 구합니다.

$$\frac{-0.60962124220442692\left(-0.9524129804151562\right)\left(-0.3200403893795592\right)}{0.32004038937956675\left(-0.30481062110221996\right)}$$

-0.60962124220442692과(와) -0.9524129804151562을(를) 곱하여 0.580611184212308050422291103284904(을)를 구합니다.

$$\frac{0.580611184212308050422291103284904\left(-0.3200403893795592\right)}{0.32004038937956675\left(-0.30481062110221996\right)}$$

0.580611184212308050422291103284904과(와) -0.3200403893795592을(를) 곱하여 -0.1858190294734340436356579327383843273175915343168(을)를 구합니다.

$$\frac{-0.1858190294734340436356579327383843273175915343168}{0.32004038937956675\left(-0.30481062110221996\right)}$$

0.32004038937956675과(와) -0.30481062110221996을(를) 곱하여 -0.09755170986458206157921548800233(을)를 구합니다.

$$\frac{-0.1858190294734340436356579327383843273175915343168}{-0.09755170986458206157921548800233}$$

분자와 분모 모두에 10000000000000000000000000000000000000000000000000을(를) 곱하여 \frac{-0.1858190294734340436356579327383843273175915343168}{-0.09755170986458206157921548800233}을(를) 확장합니다.

$$\frac{-1858190294734340436356579327383843273175915343168}{-975517098645820615792154880023300000000000000000}$$

-832을(를) 추출 및 상쇄하여 분수 \frac{-1858190294734340436356579327383843273175915343168}{-975517098645820615792154880023300000000000000000}을(를) 기약 분수로 약분합니다.

$$\frac{2233401796555697639851657845413273164874898249}{1172496512795457470904032307720312500000000000}$$