다음을 풀어보세요: tan^218-tan^212/1-tan^218tan^212

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

계산

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

해답 단계

Evaluate trigonometric functions in the problem

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

0.3249196962329063의 2제곱을 계산하여 0.10557280900008410443921494457969을(를) 구합니다.

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

0.2125565616700221의 2제곱을 계산하여 0.04518029190898190818892581448841을(를) 구합니다.

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

0.10557280900008410443921494457969에서 0.04518029190898190818892581448841을(를) 빼고 0.06039251709110219625028913009128을(를) 구합니다.

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

0.3249196962329063의 2제곱을 계산하여 0.10557280900008410443921494457969을(를) 구합니다.

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

0.2125565616700221의 2제곱을 계산하여 0.04518029190898190818892581448841을(를) 구합니다.

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

0.10557280900008410443921494457969과(와) 0.04518029190898190818892581448841을(를) 곱하여 0.0047698103282749922407995733494583683793216486233597921998263929(을)를 구합니다.

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

1에서 0.0047698103282749922407995733494583683793216486233597921998263929을(를) 빼고 0.9952301896717250077592004266505416316206783513766402078001736071을(를) 구합니다.

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

분자와 분모 모두에 10000000000000000000000000000000000000000000000000000000000000000을(를) 곱하여 \frac{0.06039251709110219625028913009128}{0.9952301896717250077592004266505416316206783513766402078001736071}을(를) 확장합니다.

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

7을(를) 추출 및 상쇄하여 분수 \frac{603925170911021962502891300912800000000000000000000000000000000}{9952301896717250077592004266505416316206783513766402078001736071}을(를) 기약 분수로 약분합니다.

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