Atrisiniet 2*1divtan(8^{circ})*1divtan(17^circ)*1divtan(45^circ)*1divtan(73^circ)*1divtan(82^circ)

$$2 \times 1 \div \tan ( 8 ^ { \circ } ) \times 1 \div \tan ( 17 ^ { \circ } ) \times 1 \div \tan ( 45 ^ { \circ } ) \times 1 \div \tan ( 73 ^ { \circ } ) \times 1 \div \tan ( 82 ^ { \circ } )$$

Izrēķināt

$$\frac{50000000000000000000000000000000000000000000000000000000000000}{24999999999999952320918945316322629374650050821000940948202031}\approx 2$$

Atrisinājuma darbības

Evaluate trigonometric functions in the problem

$$2 \cdot 1 / 0,14054083470239145 \cdot 1 / 0,3057306814586604 \cdot 1 / \tan(45) \cdot 1 / 3,2708526184841404 \cdot 1 / 7,115369722384195$$

Reiziniet 2 un 1, lai iegūtu 2.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{2}{0,14054083470239145}\times 1}{0,3057306814586604}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Izvērsiet \frac{2}{0,14054083470239145}, reizinot gan skaitītāju, gan saucēju ar 100000000000000000.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{200000000000000000}{14054083470239145}\times 1}{0,3057306814586604}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Vienādot daļskaitli \frac{200000000000000000}{14054083470239145} līdz mazākajam loceklim, izvelkot un saīsinot 5.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{40000000000000000}{2810816694047829}\times 1}{0,3057306814586604}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Reiziniet \frac{40000000000000000}{2810816694047829} un 1, lai iegūtu \frac{40000000000000000}{2810816694047829}.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{40000000000000000}{2810816694047829}}{0,3057306814586604}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Izsakiet \frac{\frac{40000000000000000}{2810816694047829}}{0,3057306814586604} kā vienu daļskaitli.

$$\frac{1\times \frac{1\times \frac{\frac{40000000000000000}{2810816694047829\times 0,3057306814586604}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Reiziniet 2810816694047829 un 0,3057306814586604, lai iegūtu 859352903326621,7159602038682716.

$$\frac{1\times \frac{1\times \frac{\frac{40000000000000000}{859352903326621,7159602038682716}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Izvērsiet \frac{40000000000000000}{859352903326621,7159602038682716}, reizinot gan skaitītāju, gan saucēju ar 10000000000000000.

$$\frac{1\times \frac{1\times \frac{\frac{400000000000000000000000000000000}{8593529033266217159602038682716}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Vienādot daļskaitli \frac{400000000000000000000000000000000}{8593529033266217159602038682716} līdz mazākajam loceklim, izvelkot un saīsinot 4.

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}\times 1}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Reiziniet \frac{100000000000000000000000000000000}{2148382258316554289900509670679} un 1, lai iegūtu \frac{100000000000000000000000000000000}{2148382258316554289900509670679}.

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{\tan(45)}}{3,2708526184841404}}{7,115369722384195}$$

Iegūt \tan(45) vērtības no trigonometrisko vērtību tabulas.

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{1}}{3,2708526184841404}}{7,115369722384195}$$

Viss, kas tiek dalīts ar viens, paliek nemainīgs.

$$\frac{1\times \frac{1\times \frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3,2708526184841404}}{7,115369722384195}$$

Reiziniet 1 un \frac{100000000000000000000000000000000}{2148382258316554289900509670679}, lai iegūtu \frac{100000000000000000000000000000000}{2148382258316554289900509670679}.

$$\frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3,2708526184841404}}{7,115369722384195}$$

Izsakiet \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3,2708526184841404} kā vienu daļskaitli.

$$\frac{1\times \frac{100000000000000000000000000000000}{2148382258316554289900509670679\times 3,2708526184841404}}{7,115369722384195}$$

Reiziniet 2148382258316554289900509670679 un 3,2708526184841404, lai iegūtu 7027041735119572517754492936408,8736997883993316.

$$\frac{1\times \frac{100000000000000000000000000000000}{7027041735119572517754492936408,8736997883993316}}{7,115369722384195}$$

Izvērsiet \frac{100000000000000000000000000000000}{7027041735119572517754492936408,8736997883993316}, reizinot gan skaitītāju, gan saucēju ar 10000000000000000.

$$\frac{1\times \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316}}{7,115369722384195}$$

Vienādot daļskaitli \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316} līdz mazākajam loceklim, izvelkot un saīsinot 4.

$$\frac{1\times \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7,115369722384195}$$

Reiziniet 1 un \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}, lai iegūtu \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}.

$$\frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7,115369722384195}$$

Izsakiet \frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7,115369722384195} kā vienu daļskaitli.

$$\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329\times 7,115369722384195}$$

Reiziniet 17567604337798931294386232341022184249470998329 un 7,115369722384195, lai iegūtu 124999999999999761604594726581613146873250254105,004704741010155.

$$\frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105,004704741010155}$$

Izvērsiet \frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105,004704741010155}, reizinot gan skaitītāju, gan saucēju ar 1000000000000000.

$$\frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155}$$

Vienādot daļskaitli \frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155} līdz mazākajam loceklim, izvelkot un saīsinot 5.

$$\frac{50000000000000000000000000000000000000000000000000000000000000}{24999999999999952320918945316322629374650050821000940948202031}$$