다음을 풀어보세요: tan^21.8-tan^21.2/1-tan^21.8tan^21.2

$$\frac { \tan ^ { 2 } 1.8 - \tan ^ { 2 } 1.2 } { 1 - \tan ^ { 2 } 1.8 \tan ^ { 2 } 1.2 }$$

계산

$$\frac{73177707426132876062955767664310800000000000000000000000000000000}{133333275554529803379601473477736286925019179673152359354188107497533}\approx 0.000548833$$

해답 단계

Evaluate trigonometric functions in the problem

$$\frac{0.03142626604335115 ^ {2} - 0.020947013909659987 ^ {2}}{1 - 0.03142626604335115 ^ {2} 0.020947013909659987 ^ {2}}$$

0.03142626604335115의 2제곱을 계산하여 0.0009876101974274855444911222063225을(를) 구합니다.

$$\frac{0.0009876101974274855444911222063225-0.020947013909659987^{2}}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

0.020947013909659987의 2제곱을 계산하여 0.000438777391731488974018953948840169을(를) 구합니다.

$$\frac{0.0009876101974274855444911222063225-0.000438777391731488974018953948840169}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

0.0009876101974274855444911222063225에서 0.000438777391731488974018953948840169을(를) 빼고 0.000548832805695996570472168257482331을(를) 구합니다.

$$\frac{0.000548832805695996570472168257482331}{1-0.03142626604335115^{2}\times 0.020947013909659987^{2}}$$

0.03142626604335115의 2제곱을 계산하여 0.0009876101974274855444911222063225을(를) 구합니다.

$$\frac{0.000548832805695996570472168257482331}{1-0.0009876101974274855444911222063225\times 0.020947013909659987^{2}}$$

0.020947013909659987의 2제곱을 계산하여 0.000438777391731488974018953948840169을(를) 구합니다.

$$\frac{0.000548832805695996570472168257482331}{1-0.0009876101974274855444911222063225\times 0.000438777391731488974018953948840169}$$

0.0009876101974274855444911222063225과(와) 0.000438777391731488974018953948840169을(를) 곱하여 0.0000004333410264746529889489169778480623561524513573048435891937685025(을)를 구합니다.

$$\frac{0.000548832805695996570472168257482331}{1-0.0000004333410264746529889489169778480623561524513573048435891937685025}$$

1에서 0.0000004333410264746529889489169778480623561524513573048435891937685025을(를) 빼고 0.9999995666589735253470110510830221519376438475486426951564108062314975을(를) 구합니다.

$$\frac{0.000548832805695996570472168257482331}{0.9999995666589735253470110510830221519376438475486426951564108062314975}$$

분자와 분모 모두에 10000000000000000000000000000000000000000000000000000000000000000000000을(를) 곱하여 \frac{0.000548832805695996570472168257482331}{0.9999995666589735253470110510830221519376438475486426951564108062314975}을(를) 확장합니다.

$$\frac{5488328056959965704721682574823310000000000000000000000000000000000}{9999995666589735253470110510830221519376438475486426951564108062314975}$$

75을(를) 추출 및 상쇄하여 분수 \frac{5488328056959965704721682574823310000000000000000000000000000000000}{9999995666589735253470110510830221519376438475486426951564108062314975}을(를) 기약 분수로 약분합니다.

$$\frac{73177707426132876062955767664310800000000000000000000000000000000}{133333275554529803379601473477736286925019179673152359354188107497533}$$