Løs sin(200)+2sin(60)-cos(70)+3sin(40)-4cos(110)

$$\sin ( 200 ) +2 \sin ( 60 ) - \cos ( 70 ) +3 \sin ( 40 ) -4 \cos ( 110 )$$

Evaluer

$$\sqrt{3}+2,61240311571095524\approx 4,344453923$$

Løsningsvejledning

Evaluate trigonometric functions in the problem

$$-0,34202014332566866 + 2 \sin(60) - 0,3420201433256688 + 3 \cdot 0,6427876096865393 - 4 \cdot -0,3420201433256687$$

Hent værdien af \sin(60) fra trigonometriske værditabeller.

$$-0,34202014332566866+2\times \frac{\sqrt{3}}{2}-0,3420201433256688+3\times 0,6427876096865393-4\left(-0,3420201433256687\right)$$

Udlign 2 og 2.

$$-0,34202014332566866+\sqrt{3}-0,3420201433256688+3\times 0,6427876096865393-4\left(-0,3420201433256687\right)$$

Subtraher 0,3420201433256688 fra -0,34202014332566866 for at få -0,68404028665133746.

$$-0,68404028665133746+\sqrt{3}+3\times 0,6427876096865393-4\left(-0,3420201433256687\right)$$

Multiplicer 3 og 0,6427876096865393 for at få 1,9283628290596179.

$$-0,68404028665133746+\sqrt{3}+1,9283628290596179-4\left(-0,3420201433256687\right)$$

Tilføj -0,68404028665133746 og 1,9283628290596179 for at få 1,24432254240828044.

$$1,24432254240828044+\sqrt{3}-4\left(-0,3420201433256687\right)$$

Multiplicer 4 og -0,3420201433256687 for at få -1,3680805733026748.

$$1,24432254240828044+\sqrt{3}-\left(-1,3680805733026748\right)$$

Det modsatte af -1,3680805733026748 er 1,3680805733026748.

$$1,24432254240828044+\sqrt{3}+1,3680805733026748$$

Tilføj 1,24432254240828044 og 1,3680805733026748 for at få 2,61240311571095524.

$$2,61240311571095524+\sqrt{3}$$