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

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

Baholash

$$\frac{30128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000}\approx 16,097264341$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{1}{0,3420201433256687 ^ {2}} - -2,7474774194546225 ^ {2}$$

2 daraja ko‘rsatkichini 0,3420201433256687 ga hisoblang va 0,11697777844051095979530830215969 ni qiymatni oling.

$$\frac{1}{0,11697777844051095979530830215969}-\left(-2,7474774194546225^{2}\right)$$

\frac{1}{0,11697777844051095979530830215969} kasrini uning surat va maxrajini 100000000000000000000000000000000 ga ko‘paytirish bilan kengaytiring.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}-\left(-2,7474774194546225^{2}\right)$$

2 daraja ko‘rsatkichini 2,7474774194546225 ga hisoblang va 7,54863217041303166704533661750625 ni qiymatni oling.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}-\left(-7,54863217041303166704533661750625\right)$$

-7,54863217041303166704533661750625 ning teskarisi 7,54863217041303166704533661750625 ga teng.

$$\frac{100000000000000000000000000000000}{11697777844051095979530830215969}+7,54863217041303166704533661750625$$

7,54863217041303166704533661750625 o‘nlik raqamni uning \frac{1207781147266085066727253858801}{10000000000} kasrga o‘giring. \frac{1207781147266085066727253858801}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

11697777844051095979530830215969 va 160000000000000000000000000000 ning eng kichik umumiy karralisi 1871644455048175356724932834555040000000000000000000000000000 ga teng. \frac{100000000000000000000000000000000}{11697777844051095979530830215969} va \frac{1207781147266085066727253858801}{160000000000000000000000000000} ni 1871644455048175356724932834555040000000000000000000000000000 maxraj bilan kasrlarga aylantirib oling.

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

\frac{16000000000000000000000000000000000000000000000000000000000000}{1871644455048175356724932834555040000000000000000000000000000} va \frac{14128355544951823826959762297674094096820918803064623461393169}{1871644455048175356724932834555040000000000000000000000000000} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

30128355544951823826959762297674094096820918803064623461393169 olish uchun 16000000000000000000000000000000000000000000000000000000000000 va 14128355544951823826959762297674094096820918803064623461393169'ni qo'shing.

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