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

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

Baholash

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

Yechim qadamlari

Evaluate trigonometric functions in the problem

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

2 hosil qilish uchun 2 va 1 ni ko'paytirish.

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

\frac{2}{0,14054083470239145} kasrini uning surat va maxrajini 100000000000000000 ga ko‘paytirish bilan kengaytiring.

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

\frac{200000000000000000}{14054083470239145} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{40000000000000000}{2810816694047829} hosil qilish uchun \frac{40000000000000000}{2810816694047829} va 1 ni ko'paytirish.

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

\frac{\frac{40000000000000000}{2810816694047829}}{0,3057306814586604} ni yagona kasrga aylantiring.

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

859352903326621,7159602038682716 hosil qilish uchun 2810816694047829 va 0,3057306814586604 ni ko'paytirish.

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

\frac{40000000000000000}{859352903326621,7159602038682716} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

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

\frac{400000000000000000000000000000000}{8593529033266217159602038682716} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{100000000000000000000000000000000}{2148382258316554289900509670679} hosil qilish uchun \frac{100000000000000000000000000000000}{2148382258316554289900509670679} va 1 ni ko'paytirish.

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

Trigonometrik qiymatlar jadvaldan \tan(45) qiymatini oling.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

\frac{100000000000000000000000000000000}{2148382258316554289900509670679} hosil qilish uchun 1 va \frac{100000000000000000000000000000000}{2148382258316554289900509670679} ni ko'paytirish.

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

\frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3,2708526184841404} ni yagona kasrga aylantiring.

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

7027041735119572517754492936408,8736997883993316 hosil qilish uchun 2148382258316554289900509670679 va 3,2708526184841404 ni ko'paytirish.

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

\frac{100000000000000000000000000000000}{7027041735119572517754492936408,8736997883993316} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

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

\frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329} hosil qilish uchun 1 va \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329} ni ko'paytirish.

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

\frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7,115369722384195} ni yagona kasrga aylantiring.

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

124999999999999761604594726581613146873250254105,004704741010155 hosil qilish uchun 17567604337798931294386232341022184249470998329 va 7,115369722384195 ni ko'paytirish.

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

\frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105,004704741010155} kasrini uning surat va maxrajini 1000000000000000 ga ko‘paytirish bilan kengaytiring.

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

\frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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