5cos0-2sin30^circ+sqrt{3}cos30^circ+2sin20^circsin40^circ eching

$$5 \cos 0 - 2 \sin 30 ^ { \circ } + \sqrt { 3 } \cos 30 ^ { \circ } + 2 \sin 20 ^ { \circ } \sin 40 ^ { \circ }$$

Baholash

$$5,93969262078590832356768512265982$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$5 \cos(0) - 2 \sin(30) + \sqrt{3} \cos(30) + 2 \cdot 0,3420201433256687 \cdot 0,6427876096865393$$

Trigonometrik qiymatlar jadvaldan \cos(0) qiymatini oling.

$$5\times 1-2\sin(30)+\sqrt{3}\cos(30)+2\times 0,3420201433256687\times 0,6427876096865393$$

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

$$5-2\sin(30)+\sqrt{3}\cos(30)+2\times 0,3420201433256687\times 0,6427876096865393$$

Trigonometrik qiymatlar jadvaldan \sin(30) qiymatini oling.

$$5-2\times \frac{1}{2}+\sqrt{3}\cos(30)+2\times 0,3420201433256687\times 0,6427876096865393$$

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

$$5-1+\sqrt{3}\cos(30)+2\times 0,3420201433256687\times 0,6427876096865393$$

4 olish uchun 5 dan 1 ni ayirish.

$$4+\sqrt{3}\cos(30)+2\times 0,3420201433256687\times 0,6427876096865393$$

Trigonometrik qiymatlar jadvaldan \cos(30) qiymatini oling.

$$4+\sqrt{3}\times \frac{\sqrt{3}}{2}+2\times 0,3420201433256687\times 0,6427876096865393$$

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

$$4+\frac{\sqrt{3}\sqrt{3}}{2}+2\times 0,3420201433256687\times 0,6427876096865393$$

0,6840402866513374 hosil qilish uchun 2 va 0,3420201433256687 ni ko'paytirish.

$$4+\frac{\sqrt{3}\sqrt{3}}{2}+0,6840402866513374\times 0,6427876096865393$$

0,43969262078590832356768512265982 hosil qilish uchun 0,6840402866513374 va 0,6427876096865393 ni ko'paytirish.

$$4+\frac{\sqrt{3}\sqrt{3}}{2}+0,43969262078590832356768512265982$$

4,43969262078590832356768512265982 olish uchun 4 va 0,43969262078590832356768512265982'ni qo'shing.

$$4,43969262078590832356768512265982+\frac{\sqrt{3}\sqrt{3}}{2}$$

3 hosil qilish uchun \sqrt{3} va \sqrt{3} ni ko'paytirish.

$$4,43969262078590832356768512265982+\frac{3}{2}$$

\frac{296984631039295416178384256132991}{50000000000000000000000000000000} olish uchun 4,43969262078590832356768512265982 va \frac{3}{2}'ni qo'shing.

$$\frac{296984631039295416178384256132991}{50000000000000000000000000000000}$$