Løs 5*cos(121)-sin(121)*98/cos(121)*98-5*sin(12)

$$\frac{ 5 \times \cos ( 121 ) - \sin ( 121 ) \times 98 }{ \cos ( 121 ) \times 98-5 \times \sin ( 12 ) }$$

Evaluer

$$\frac{1731551716867145538}{1030265795905482359}\approx 1,680684464$$

Løsningsvejledning

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot -0,5150380749100543 - 0,8571673007021123 \cdot 98}{-0,5150380749100543 \cdot 98 - 5 \cdot 0,20791169081775931}$$

Multiplicer 5 og -0,5150380749100543 for at få -2,5751903745502715.

$$\frac{-2,5751903745502715-0,8571673007021123\times 98}{-0,5150380749100543\times 98-5\times 0,20791169081775931}$$

Multiplicer 0,8571673007021123 og 98 for at få 84,0023954688070054.

$$\frac{-2,5751903745502715-84,0023954688070054}{-0,5150380749100543\times 98-5\times 0,20791169081775931}$$

Subtraher 84,0023954688070054 fra -2,5751903745502715 for at få -86,5775858433572769.

$$\frac{-86,5775858433572769}{-0,5150380749100543\times 98-5\times 0,20791169081775931}$$

Multiplicer -0,5150380749100543 og 98 for at få -50,4737313411853214.

$$\frac{-86,5775858433572769}{-50,4737313411853214-5\times 0,20791169081775931}$$

Multiplicer 5 og 0,20791169081775931 for at få 1,03955845408879655.

$$\frac{-86,5775858433572769}{-50,4737313411853214-1,03955845408879655}$$

Subtraher 1,03955845408879655 fra -50,4737313411853214 for at få -51,51328979527411795.

$$\frac{-86,5775858433572769}{-51,51328979527411795}$$

Udvid \frac{-86,5775858433572769}{-51,51328979527411795} ved at gange både tælleren og nævneren med 100000000000000000.

$$\frac{-8657758584335727690}{-5151328979527411795}$$

Reducer fraktionen \frac{-8657758584335727690}{-5151328979527411795} til de laveste led ved at udtrække og annullere -5.

$$\frac{1731551716867145538}{1030265795905482359}$$

Faktoriser

$$\frac{2 \cdot 3 \cdot 19 \cdot 727 \cdot 3833 \cdot 5450764087}{1319 \cdot 781096130330161} = 1\frac{7,012859209616631 \times 10^{17}}{1,0302657959054824 \times 10^{18}} = 1,6806844639011969$$