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

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

Hesapla

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

Çözüm Adımları

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 ve 1 sayılarını çarparak 2 sonucunu bulun.

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

Payı ve paydayı 100000000000000000 ile çarparak \frac{2}{0,14054083470239145} kesrini genişletin.

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

5 terimini kökün dışına çıkarıp yok ederek \frac{200000000000000000}{14054083470239145} kesrini sadeleştirin.

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

\frac{40000000000000000}{2810816694047829} ve 1 sayılarını çarparak \frac{40000000000000000}{2810816694047829} sonucunu bulun.

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

\frac{\frac{40000000000000000}{2810816694047829}}{0,3057306814586604} değerini tek bir kesir olarak ifade edin.

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

2810816694047829 ve 0,3057306814586604 sayılarını çarparak 859352903326621,7159602038682716 sonucunu bulun.

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

Payı ve paydayı 10000000000000000 ile çarparak \frac{40000000000000000}{859352903326621,7159602038682716} kesrini genişletin.

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

4 terimini kökün dışına çıkarıp yok ederek \frac{400000000000000000000000000000000}{8593529033266217159602038682716} kesrini sadeleştirin.

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

\frac{100000000000000000000000000000000}{2148382258316554289900509670679} ve 1 sayılarını çarparak \frac{100000000000000000000000000000000}{2148382258316554289900509670679} sonucunu bulun.

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

Trigonometrik değerler tablosundaki \tan(45) değerini alın.

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

Herhangi bir sayı bire bölündüğüne sonuç sayının kendisi olur.

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

1 ve \frac{100000000000000000000000000000000}{2148382258316554289900509670679} sayılarını çarparak \frac{100000000000000000000000000000000}{2148382258316554289900509670679} sonucunu bulun.

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

\frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3,2708526184841404} değerini tek bir kesir olarak ifade edin.

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

2148382258316554289900509670679 ve 3,2708526184841404 sayılarını çarparak 7027041735119572517754492936408,8736997883993316 sonucunu bulun.

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

Payı ve paydayı 10000000000000000 ile çarparak \frac{100000000000000000000000000000000}{7027041735119572517754492936408,8736997883993316} kesrini genişletin.

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

4 terimini kökün dışına çıkarıp yok ederek \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316} kesrini sadeleştirin.

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

1 ve \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329} sayılarını çarparak \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329} sonucunu bulun.

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

\frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7,115369722384195} değerini tek bir kesir olarak ifade edin.

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

17567604337798931294386232341022184249470998329 ve 7,115369722384195 sayılarını çarparak 124999999999999761604594726581613146873250254105,004704741010155 sonucunu bulun.

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

Payı ve paydayı 1000000000000000 ile çarparak \frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105,004704741010155} kesrini genişletin.

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

5 terimini kökün dışına çıkarıp yok ederek \frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155} kesrini sadeleştirin.

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