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

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

Evaluer

$$\frac{2233401796555697639851657845413273164874898249}{1172496512795457470904032307720312500000000000}\approx 1,904825961$$

Løsningstrinn

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot -0,30481062110221346 \cdot -0,9524129804151562 \cdot -0,3200403893795592}{0,32004038937956675 \cdot -0,30481062110221996}$$

Multipliser 2 med -0,30481062110221346 for å få -0,60962124220442692.

$$\frac{-0,60962124220442692\left(-0,9524129804151562\right)\left(-0,3200403893795592\right)}{0,32004038937956675\left(-0,30481062110221996\right)}$$

Multipliser -0,60962124220442692 med -0,9524129804151562 for å få 0,580611184212308050422291103284904.

$$\frac{0,580611184212308050422291103284904\left(-0,3200403893795592\right)}{0,32004038937956675\left(-0,30481062110221996\right)}$$

Multipliser 0,580611184212308050422291103284904 med -0,3200403893795592 for å få -0,1858190294734340436356579327383843273175915343168.

$$\frac{-0,1858190294734340436356579327383843273175915343168}{0,32004038937956675\left(-0,30481062110221996\right)}$$

Multipliser 0,32004038937956675 med -0,30481062110221996 for å få -0,09755170986458206157921548800233.

$$\frac{-0,1858190294734340436356579327383843273175915343168}{-0,09755170986458206157921548800233}$$

Utvid \frac{-0,1858190294734340436356579327383843273175915343168}{-0,09755170986458206157921548800233} ved å multiplisere både telleren og nevneren med 10000000000000000000000000000000000000000000000000.

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

Forkort brøken \frac{-1858190294734340436356579327383843273175915343168}{-975517098645820615792154880023300000000000000000} til minste felles nevner ved å dele teller og nevner på -832.

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