Selesaikan tan^218-tan^212/1-tan^218tan^212

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

Nilaikan

$$\frac{86275024415860280357555900130400000000000000000000000000000000}{1421757413816750011084572038072202330886683359109486011143105153}\approx 0.060681959$$

Langkah Penyelesaian

Evaluate trigonometric functions in the problem

$$\frac{0.3249196962329063 ^ {2} - 0.2125565616700221 ^ {2}}{1 - 0.3249196962329063 ^ {2} 0.2125565616700221 ^ {2}}$$

Kira 0.3249196962329063 dikuasakan 2 dan dapatkan 0.10557280900008410443921494457969.

$$\frac{0.10557280900008410443921494457969-0.2125565616700221^{2}}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

Kira 0.2125565616700221 dikuasakan 2 dan dapatkan 0.04518029190898190818892581448841.

$$\frac{0.10557280900008410443921494457969-0.04518029190898190818892581448841}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

Tolak 0.04518029190898190818892581448841 daripada 0.10557280900008410443921494457969 untuk mendapatkan 0.06039251709110219625028913009128.

$$\frac{0.06039251709110219625028913009128}{1-0.3249196962329063^{2}\times 0.2125565616700221^{2}}$$

Kira 0.3249196962329063 dikuasakan 2 dan dapatkan 0.10557280900008410443921494457969.

$$\frac{0.06039251709110219625028913009128}{1-0.10557280900008410443921494457969\times 0.2125565616700221^{2}}$$

Kira 0.2125565616700221 dikuasakan 2 dan dapatkan 0.04518029190898190818892581448841.

$$\frac{0.06039251709110219625028913009128}{1-0.10557280900008410443921494457969\times 0.04518029190898190818892581448841}$$

Darabkan 0.10557280900008410443921494457969 dan 0.04518029190898190818892581448841 untuk mendapatkan 0.0047698103282749922407995733494583683793216486233597921998263929.

$$\frac{0.06039251709110219625028913009128}{1-0.0047698103282749922407995733494583683793216486233597921998263929}$$

Tolak 0.0047698103282749922407995733494583683793216486233597921998263929 daripada 1 untuk mendapatkan 0.9952301896717250077592004266505416316206783513766402078001736071.

$$\frac{0.06039251709110219625028913009128}{0.9952301896717250077592004266505416316206783513766402078001736071}$$

Kembangkan \frac{0.06039251709110219625028913009128}{0.9952301896717250077592004266505416316206783513766402078001736071} dengan mendarabkan kedua-dua pengangka dan penyebut dengan 10000000000000000000000000000000000000000000000000000000000000000.

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

Kurangkan pecahan \frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071} kepada sebutan terendah dengan mengeluarkan dan membatalkan 7.

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