frac{5cos0^{circ}-2sin30^{circ}+sqrt{3}cos30^{circ}}{tan30^{circ}*tan60^circ*cos60^circ}+3sin29^circsec61^circ eching

$$\frac { 5 \cos 0 ^ { \circ } - 2 \sin 30 ^ { \circ } + \sqrt { 3 } \cos 30 ^ { \circ } } { \tan 30 ^ { \circ } \times \tan 60 ^ { \circ } \times \cos 60 ^ { \circ } } + 3 \sin 29 ^ { \circ } \sec 61 ^ { \circ }$$

Baholash

$$\frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000}\approx 20,636230939$$

Qisqa yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{5 \cos(0) - 2 \sin(30) + \sqrt{3} \cos(30)}{0,3118580165482944} + 3 \cdot 0,48480962024633706 \cdot 2,062665339627314$$

Trigonometrik qiymatlar jadvaldan \cos(0) qiymatini oling.

$$\frac{5\times 1-2\sin(30)+\sqrt{3}\cos(30)}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

5 hosil qilish uchun 5 va 1 ni ko'paytirish.

$$\frac{5-2\sin(30)+\sqrt{3}\cos(30)}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

Trigonometrik qiymatlar jadvaldan \sin(30) qiymatini oling.

$$\frac{5-2\times \frac{1}{2}+\sqrt{3}\cos(30)}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

$$\frac{5-1+\sqrt{3}\cos(30)}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

4 olish uchun 5 dan 1 ni ayirish.

$$\frac{4+\sqrt{3}\cos(30)}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

Trigonometrik qiymatlar jadvaldan \cos(30) qiymatini oling.

$$\frac{4+\sqrt{3}\times \frac{\sqrt{3}}{2}}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

\sqrt{3}\times \frac{\sqrt{3}}{2} ni yagona kasrga aylantiring.

$$\frac{4+\frac{\sqrt{3}\sqrt{3}}{2}}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{\frac{4\times 2}{2}+\frac{\sqrt{3}\sqrt{3}}{2}}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

\frac{4\times 2}{2} va \frac{\sqrt{3}\sqrt{3}}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{4\times 2+\sqrt{3}\sqrt{3}}{2}}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

4\times 2+\sqrt{3}\sqrt{3} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{8+3}{2}}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

8+3 hisob-kitobini qiling.

$$\frac{\frac{11}{2}}{0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

\frac{\frac{11}{2}}{0,3118580165482944} ni yagona kasrga aylantiring.

$$\frac{11}{2\times 0,3118580165482944}+3\times 0,48480962024633706\times 2,062665339627314$$

0,6237160330965888 hosil qilish uchun 2 va 0,3118580165482944 ni ko'paytirish.

$$\frac{11}{0,6237160330965888}+3\times 0,48480962024633706\times 2,062665339627314$$

\frac{11}{0,6237160330965888} kasrini uning surat va maxrajini 10000000000000000 ga ko‘paytirish bilan kengaytiring.

$$\frac{110000000000000000}{6237160330965888}+3\times 0,48480962024633706\times 2,062665339627314$$

\frac{110000000000000000}{6237160330965888} ulushini 128 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{859375000000000}{48727815085671}+3\times 0,48480962024633706\times 2,062665339627314$$

1,45442886073901118 hosil qilish uchun 3 va 0,48480962024633706 ni ko'paytirish.

$$\frac{859375000000000}{48727815085671}+1,45442886073901118\times 2,062665339627314$$

2,99999999999999987246512207937052 hosil qilish uchun 1,45442886073901118 va 2,062665339627314 ni ko'paytirish.

$$\frac{859375000000000}{48727815085671}+2,99999999999999987246512207937052$$

\frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000} olish uchun \frac{859375000000000}{48727815085671} va 2,99999999999999987246512207937052'ni qo'shing.

$$\frac{25138961131425324844637601292748537216888795473}{1218195377141775000000000000000000000000000000}$$