Whakaoti i te 2*1divtan(8^{circ})*1divtan(17^circ)*1divtan(45^circ)*1divtan(73^circ)*1divtan(82^circ)

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

Aromātai

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

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$2 \cdot 1 / 0.14054083470239145 \cdot 1 / 0.3057306814586604 \cdot 1 / \tan(45) \cdot 1 / 3.2708526184841404 \cdot 1 / 7.115369722384195$$

Whakareatia te 2 ki te 1, ka 2.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{2}{0.14054083470239145}\times 1}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakarohaina te \frac{2}{0.14054083470239145} mā te whakarea i te taurunga me te tauraro ki te 100000000000000000.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{200000000000000000}{14054083470239145}\times 1}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakahekea te hautanga \frac{200000000000000000}{14054083470239145} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{40000000000000000}{2810816694047829}\times 1}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakareatia te \frac{40000000000000000}{2810816694047829} ki te 1, ka \frac{40000000000000000}{2810816694047829}.

$$\frac{1\times \frac{1\times \frac{\frac{\frac{40000000000000000}{2810816694047829}}{0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Tuhia te \frac{\frac{40000000000000000}{2810816694047829}}{0.3057306814586604} hei hautanga kotahi.

$$\frac{1\times \frac{1\times \frac{\frac{40000000000000000}{2810816694047829\times 0.3057306814586604}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakareatia te 2810816694047829 ki te 0.3057306814586604, ka 859352903326621.7159602038682716.

$$\frac{1\times \frac{1\times \frac{\frac{40000000000000000}{859352903326621.7159602038682716}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakarohaina te \frac{40000000000000000}{859352903326621.7159602038682716} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\frac{1\times \frac{1\times \frac{\frac{400000000000000000000000000000000}{8593529033266217159602038682716}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakahekea te hautanga \frac{400000000000000000000000000000000}{8593529033266217159602038682716} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}\times 1}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Whakareatia te \frac{100000000000000000000000000000000}{2148382258316554289900509670679} ki te 1, ka \frac{100000000000000000000000000000000}{2148382258316554289900509670679}.

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{\tan(45)}}{3.2708526184841404}}{7.115369722384195}$$

Tīkina te uara \tan(45) mai i te ripanga uara pākoki.

$$\frac{1\times \frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{1}}{3.2708526184841404}}{7.115369722384195}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{1\times \frac{1\times \frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3.2708526184841404}}{7.115369722384195}$$

Whakareatia te 1 ki te \frac{100000000000000000000000000000000}{2148382258316554289900509670679}, ka \frac{100000000000000000000000000000000}{2148382258316554289900509670679}.

$$\frac{1\times \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3.2708526184841404}}{7.115369722384195}$$

Tuhia te \frac{\frac{100000000000000000000000000000000}{2148382258316554289900509670679}}{3.2708526184841404} hei hautanga kotahi.

$$\frac{1\times \frac{100000000000000000000000000000000}{2148382258316554289900509670679\times 3.2708526184841404}}{7.115369722384195}$$

Whakareatia te 2148382258316554289900509670679 ki te 3.2708526184841404, ka 7027041735119572517754492936408.8736997883993316.

$$\frac{1\times \frac{100000000000000000000000000000000}{7027041735119572517754492936408.8736997883993316}}{7.115369722384195}$$

Whakarohaina te \frac{100000000000000000000000000000000}{7027041735119572517754492936408.8736997883993316} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\frac{1\times \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316}}{7.115369722384195}$$

Whakahekea te hautanga \frac{1000000000000000000000000000000000000000000000000}{70270417351195725177544929364088736997883993316} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1\times \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7.115369722384195}$$

Whakareatia te 1 ki te \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}, ka \frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}.

$$\frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7.115369722384195}$$

Tuhia te \frac{\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329}}{7.115369722384195} hei hautanga kotahi.

$$\frac{250000000000000000000000000000000000000000000000}{17567604337798931294386232341022184249470998329\times 7.115369722384195}$$

Whakareatia te 17567604337798931294386232341022184249470998329 ki te 7.115369722384195, ka 124999999999999761604594726581613146873250254105.004704741010155.

$$\frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105.004704741010155}$$

Whakarohaina te \frac{250000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105.004704741010155} mā te whakarea i te taurunga me te tauraro ki te 1000000000000000.

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

Whakahekea te hautanga \frac{250000000000000000000000000000000000000000000000000000000000000}{124999999999999761604594726581613146873250254105004704741010155} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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