Ratkaise tan^218-tan^212/1-tan^218tan^212

$$\frac { \tan ^ { 2 } 18 - \tan ^ { 2 } 12 } { 1 - \tan ^ { 2 } 18 \tan ^ { 2 } 12 }$$

Laske

$$\frac{86275024415860280357555900130400000000000000000000000000000000}{1421757413816750011084572038072202330886683359109486011143105153}\approx 0,060681959$$

Ratkaisun vaiheet

Evaluate trigonometric functions in the problem

$$\frac{0,3249196962329063 ^ {2} - 0,2125565616700221 ^ {2}}{1 - 0,3249196962329063 ^ {2} 0,2125565616700221 ^ {2}}$$

Laske 0,3249196962329063 potenssiin 2, jolloin ratkaisuksi tulee 0,10557280900008410443921494457969.

$$\frac{0,10557280900008410443921494457969-0,2125565616700221^{2}}{1-0,3249196962329063^{2}\times 0,2125565616700221^{2}}$$

Laske 0,2125565616700221 potenssiin 2, jolloin ratkaisuksi tulee 0,04518029190898190818892581448841.

$$\frac{0,10557280900008410443921494457969-0,04518029190898190818892581448841}{1-0,3249196962329063^{2}\times 0,2125565616700221^{2}}$$

Vähennä 0,04518029190898190818892581448841 luvusta 0,10557280900008410443921494457969 saadaksesi tuloksen 0,06039251709110219625028913009128.

$$\frac{0,06039251709110219625028913009128}{1-0,3249196962329063^{2}\times 0,2125565616700221^{2}}$$

Laske 0,3249196962329063 potenssiin 2, jolloin ratkaisuksi tulee 0,10557280900008410443921494457969.

$$\frac{0,06039251709110219625028913009128}{1-0,10557280900008410443921494457969\times 0,2125565616700221^{2}}$$

Laske 0,2125565616700221 potenssiin 2, jolloin ratkaisuksi tulee 0,04518029190898190818892581448841.

$$\frac{0,06039251709110219625028913009128}{1-0,10557280900008410443921494457969\times 0,04518029190898190818892581448841}$$

Kerro 0,10557280900008410443921494457969 ja 0,04518029190898190818892581448841, niin saadaan 0,0047698103282749922407995733494583683793216486233597921998263929.

$$\frac{0,06039251709110219625028913009128}{1-0,0047698103282749922407995733494583683793216486233597921998263929}$$

Vähennä 0,0047698103282749922407995733494583683793216486233597921998263929 luvusta 1 saadaksesi tuloksen 0,9952301896717250077592004266505416316206783513766402078001736071.

$$\frac{0,06039251709110219625028913009128}{0,9952301896717250077592004266505416316206783513766402078001736071}$$

Lavenna \frac{0,06039251709110219625028913009128}{0,9952301896717250077592004266505416316206783513766402078001736071} kertomalla sekä osoittaja että nimittäjä luvulla 10000000000000000000000000000000000000000000000000000000000000000.

$$\frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071}$$

Supista murtoluku \frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071} luvulla 7.

$$\frac{86275024415860280357555900130400000000000000000000000000000000}{1421757413816750011084572038072202330886683359109486011143105153}$$