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

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

Enrhifo

$$5.93969262078590832356768512265982$$

Camau Ateb

Evaluate trigonometric functions in the problem

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

Cael gwerth \cos(0) o’r tabl gwerthoedd trigonometrig.

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

Lluosi 5 a 1 i gael 5.

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

Cael gwerth \sin(30) o’r tabl gwerthoedd trigonometrig.

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

Lluosi 2 a \frac{1}{2} i gael 1.

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

Tynnu 1 o 5 i gael 4.

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

Cael gwerth \cos(30) o’r tabl gwerthoedd trigonometrig.

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

Mynegwch \sqrt{3}\times \frac{\sqrt{3}}{2} fel ffracsiwn unigol.

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

Lluosi 2 a 0.3420201433256687 i gael 0.6840402866513374.

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

Lluosi 0.6840402866513374 a 0.6427876096865393 i gael 0.43969262078590832356768512265982.

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

Adio 4 a 0.43969262078590832356768512265982 i gael 4.43969262078590832356768512265982.

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

Lluosi \sqrt{3} a \sqrt{3} i gael 3.

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

Adio 4.43969262078590832356768512265982 a \frac{3}{2} i gael \frac{296984631039295416178384256132991}{50000000000000000000000000000000}.

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