tan^218-tan^212/1-tan^218tan^212 Denklemini Çözme

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

Hesapla

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

Çözüm Adımları

Evaluate trigonometric functions in the problem

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

2 sayısının 0,3249196962329063 kuvvetini hesaplayarak 0,10557280900008410443921494457969 sonucunu bulun.

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

2 sayısının 0,2125565616700221 kuvvetini hesaplayarak 0,04518029190898190818892581448841 sonucunu bulun.

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

0,10557280900008410443921494457969 sayısından 0,04518029190898190818892581448841 sayısını çıkarıp 0,06039251709110219625028913009128 sonucunu bulun.

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

2 sayısının 0,3249196962329063 kuvvetini hesaplayarak 0,10557280900008410443921494457969 sonucunu bulun.

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

2 sayısının 0,2125565616700221 kuvvetini hesaplayarak 0,04518029190898190818892581448841 sonucunu bulun.

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

0,10557280900008410443921494457969 ve 0,04518029190898190818892581448841 sayılarını çarparak 0,0047698103282749922407995733494583683793216486233597921998263929 sonucunu bulun.

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

1 sayısından 0,0047698103282749922407995733494583683793216486233597921998263929 sayısını çıkarıp 0,9952301896717250077592004266505416316206783513766402078001736071 sonucunu bulun.

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

Payı ve paydayı 10000000000000000000000000000000000000000000000000000000000000000 ile çarparak \frac{0,06039251709110219625028913009128}{0,9952301896717250077592004266505416316206783513766402078001736071} kesrini genişletin.

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

7 terimini kökün dışına çıkarıp yok ederek \frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071} kesrini sadeleştirin.

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