Issolvi 1/sin^220^circ-tan^2110^circ

$$\frac { 1 } { \sin ^ { 2 } 20 ^ { \circ } } - \tan ^ { 2 } 110 ^ { \circ }$$

Evalwa

$$\frac{30128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}\approx 16.097264341$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$\frac{1}{0.3420201433256687 ^ {2}} - -2.7474774194546225 ^ {2}$$

Ikkalkula 0.3420201433256687 bil-power ta' 2 u tikseb 0.11697777844051095979530830215969.

$$\frac{1}{0.11697777844051095979530830215969}-\left(-2.7474774194546225^{2}\right)$$

Espandi \frac{1}{0.11697777844051095979530830215969} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000000000000000000000000000000.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}-\left(-2.7474774194546225^{2}\right)$$

Ikkalkula 2.7474774194546225 bil-power ta' 2 u tikseb 7.54863217041303166704533661750625.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}-\left(-7.54863217041303166704533661750625\right)$$

L-oppost ta' -7.54863217041303166704533661750625 huwa 7.54863217041303166704533661750625.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}+7.54863217041303166704533661750625$$

Ikkonverti n-numru deċimali 7.54863217041303166704533661750625 fi frazzjoni \frac{1207781147266085066727253858801}{10000000000}. Naqqas il-frazzjoni \frac{1207781147266085066727253858801}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 1.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}+\frac{1207781147266085066727253858801}{160000000000000000000000000000}$$

L-inqas multipli komuni ta' 11697777844051095979530830215969 u 160000000000000000000000000000 huwa 1871644455048175356724932834555040000000000000000000000000000. Ikkonverti \frac{100000000000000000000000000000000}{11697777844051095979530830215969} u \frac{1207781147266085066727253858801}{160000000000000000000000000000} fi frazzjonijiet bid-denominatur 1871644455048175356724932834555040000000000000000000000000000.

$$\frac{16000000000000000000000000000000000000000000000000000000000000}{1871644455048175356724932834555040000000000000000000000000000}+\frac{14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}$$

Billi \frac{16000000000000000000000000000000000000000000000000000000000000}{1871644455048175356724932834555040000000000000000000000000000} u \frac{14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{16000000000000000000000000000000000000000000000000000000000000+14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}$$

Żid 16000000000000000000000000000000000000000000000000000000000000 u 14128355544951823826959762297674094096820918803064623461393169 biex tikseb 30128355544951823826959762297674094096820918803064623461393169.

$$\frac{30128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}$$