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

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

Процени

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

Чекори за решение

Evaluate trigonometric functions in the problem

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

Помножете 2 и 1 за да добиете 2.

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

Проширете го \frac{2}{0,14054083470239145} преку множење на броителот и именителот со 100000000000000000.

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

Намалете ја дропката \frac{200000000000000000}{14054083470239145} до најниските услови со извлекување и откажување на 5.

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

Помножете \frac{40000000000000000}{2810816694047829} и 1 за да добиете \frac{40000000000000000}{2810816694047829}.

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

Изразете ја \frac{\frac{40000000000000000}{2810816694047829}}{0,3057306814586604} како една дропка.

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

Помножете 2810816694047829 и 0,3057306814586604 за да добиете 859352903326621,7159602038682716.

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

Проширете го \frac{40000000000000000}{859352903326621,7159602038682716} преку множење на броителот и именителот со 10000000000000000.

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

Намалете ја дропката \frac{400000000000000000000000000000000}{8593529033266217159602038682716} до најниските услови со извлекување и откажување на 4.

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

Помножете \frac{100000000000000000000000000000000}{2148382258316554289900509670679} и 1 за да добиете \frac{100000000000000000000000000000000}{2148382258316554289900509670679}.

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

Земете ја вредноста на \tan(45) од табелата со тригонометриски вредности.

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

Се што се поврзува со еден

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

Помножете 1 и \frac{100000000000000000000000000000000}{2148382258316554289900509670679} за да добиете \frac{100000000000000000000000000000000}{2148382258316554289900509670679}.

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

Изразете ја \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3,2708526184841404} како една дропка.

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

Помножете 2148382258316554289900509670679 и 3,2708526184841404 за да добиете 7027041735119572517754492936408,8736997883993316.

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

Проширете го \frac{100000000000000000000000000000000}{7027041735119572517754492936408,8736997883993316} преку множење на броителот и именителот со 10000000000000000.

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

Намалете ја дропката \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316} до најниските услови со извлекување и откажување на 4.

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

Помножете 1 и \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329} за да добиете \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}.

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

Изразете ја \frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7,115369722384195} како една дропка.

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

Помножете 17567604337798931294386232341022184249470998329 и 7,115369722384195 за да добиете 124999999999999761604594726581613146873250254105,004704741010155.

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

Проширете го \frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105,004704741010155} преку множење на броителот и именителот со 1000000000000000.

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

Намалете ја дропката \frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155} до најниските услови со извлекување и откажување на 5.

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