Whakaoti i te 5cos0-2sin30^circ+sqrt{3}cos30^circ+2sin20^circsin40^circ

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

Aromātai

$$5.93969262078590832356768512265982$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

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

Tīkina te uara \cos(0) mai i te ripanga uara pākoki.

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

Whakareatia te 5 ki te 1, ka 5.

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

Tīkina te uara \sin(30) mai i te ripanga uara pākoki.

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

Whakareatia te 2 ki te \frac{1}{2}, ka 1.

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

Tangohia te 1 i te 5, ka 4.

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

Tīkina te uara \cos(30) mai i te ripanga uara pākoki.

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

Tuhia te \sqrt{3}\times \frac{\sqrt{3}}{2} hei hautanga kotahi.

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

Whakareatia te 2 ki te 0.3420201433256687, ka 0.6840402866513374.

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

Whakareatia te 0.6840402866513374 ki te 0.6427876096865393, ka 0.43969262078590832356768512265982.

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

Tāpirihia te 4 ki te 0.43969262078590832356768512265982, ka 4.43969262078590832356768512265982.

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

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

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

Tāpirihia te 4.43969262078590832356768512265982 ki te \frac{3}{2}, ka \frac{296984631039295416178384256132991}{50000000000000000000000000000000}.

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