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

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

Evalwa

$$5.93969262078590832356768512265982$$

Passi tas-Soluzzjonijiet

Evaluate trigonometric functions in the problem

$$5 \cos(0) - 2 \sin(30) + \sqrt{3} \cos(30) + 2 \cdot 0.3420201433256687 \cdot 0.6427876096865393$$

Ikseb il-valur ta’ \cos(0) mit-tabella tal-valuri trigonometriċi.

$$5\times 1-2\sin(30)+\sqrt{3}\cos(30)+2\times 0.3420201433256687\times 0.6427876096865393$$

Immultiplika 5 u 1 biex tikseb 5.

$$5-2\sin(30)+\sqrt{3}\cos(30)+2\times 0.3420201433256687\times 0.6427876096865393$$

Ikseb il-valur ta’ \sin(30) mit-tabella tal-valuri trigonometriċi.

$$5-2\times \frac{1}{2}+\sqrt{3}\cos(30)+2\times 0.3420201433256687\times 0.6427876096865393$$

Immultiplika 2 u \frac{1}{2} biex tikseb 1.

$$5-1+\sqrt{3}\cos(30)+2\times 0.3420201433256687\times 0.6427876096865393$$

Naqqas 1 minn 5 biex tikseb 4.

$$4+\sqrt{3}\cos(30)+2\times 0.3420201433256687\times 0.6427876096865393$$

Ikseb il-valur ta’ \cos(30) mit-tabella tal-valuri trigonometriċi.

$$4+\sqrt{3}\times \frac{\sqrt{3}}{2}+2\times 0.3420201433256687\times 0.6427876096865393$$

Esprimi \sqrt{3}\times \frac{\sqrt{3}}{2} bħala frazzjoni waħda.

$$4+\frac{\sqrt{3}\sqrt{3}}{2}+2\times 0.3420201433256687\times 0.6427876096865393$$

Immultiplika 2 u 0.3420201433256687 biex tikseb 0.6840402866513374.

$$4+\frac{\sqrt{3}\sqrt{3}}{2}+0.6840402866513374\times 0.6427876096865393$$

Immultiplika 0.6840402866513374 u 0.6427876096865393 biex tikseb 0.43969262078590832356768512265982.

$$4+\frac{\sqrt{3}\sqrt{3}}{2}+0.43969262078590832356768512265982$$

Żid 4 u 0.43969262078590832356768512265982 biex tikseb 4.43969262078590832356768512265982.

$$4.43969262078590832356768512265982+\frac{\sqrt{3}\sqrt{3}}{2}$$

Immultiplika \sqrt{3} u \sqrt{3} biex tikseb 3.

$$4.43969262078590832356768512265982+\frac{3}{2}$$

Żid 4.43969262078590832356768512265982 u \frac{3}{2} biex tikseb \frac{296984631039295416178384256132991}{50000000000000000000000000000000}.

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