Leysa tan^21.8-tan^21.2/1-tan^21.8tan^21.2

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

Meta

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

Lausnarskref

Evaluate trigonometric functions in the problem

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

Reiknaðu 0.03142626604335115 í 2. veldi og fáðu 0.0009876101974274855444911222063225.

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

Reiknaðu 0.020947013909659987 í 2. veldi og fáðu 0.000438777391731488974018953948840169.

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

Dragðu 0.000438777391731488974018953948840169 frá 0.0009876101974274855444911222063225 til að fá út 0.000548832805695996570472168257482331.

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

Reiknaðu 0.03142626604335115 í 2. veldi og fáðu 0.0009876101974274855444911222063225.

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

Reiknaðu 0.020947013909659987 í 2. veldi og fáðu 0.000438777391731488974018953948840169.

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

Margfaldaðu 0.0009876101974274855444911222063225 og 0.000438777391731488974018953948840169 til að fá út 0.0000004333410264746529889489169778480623561524513573048435891937685025.

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

Dragðu 0.0000004333410264746529889489169778480623561524513573048435891937685025 frá 1 til að fá út 0.9999995666589735253470110510830221519376438475486426951564108062314975.

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

Leystu upp \frac{0.000548832805695996570472168257482331}{0.9999995666589735253470110510830221519376438475486426951564108062314975} með því að margfalda bæði teljara og nefnara með 10000000000000000000000000000000000000000000000000000000000000000000000.

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

Minnka brotið \frac{5488328056959965704721682574823310000000000000000000000000000000000}{9999995666589735253470110510830221519376438475486426951564108062314975} eins mikið og hægt er með því að draga og stytta út 75.

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