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

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

Evaluate

$$\frac{1731551716867145538}{1030265795905482359}\approx 1.680684464$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{5 \cdot -0.5150380749100543 - 0.8571673007021123 \cdot 98}{-0.5150380749100543 \cdot 98 - 5 \cdot 0.20791169081775931}$$

Multiply 5 and -0.5150380749100543 to get -2.5751903745502715.

$$\frac{-2.5751903745502715-0.8571673007021123\times 98}{-0.5150380749100543\times 98-5\times 0.20791169081775931}$$

Multiply 0.8571673007021123 and 98 to get 84.0023954688070054.

$$\frac{-2.5751903745502715-84.0023954688070054}{-0.5150380749100543\times 98-5\times 0.20791169081775931}$$

Subtract 84.0023954688070054 from -2.5751903745502715 to get -86.5775858433572769.

$$\frac{-86.5775858433572769}{-0.5150380749100543\times 98-5\times 0.20791169081775931}$$

Multiply -0.5150380749100543 and 98 to get -50.4737313411853214.

$$\frac{-86.5775858433572769}{-50.4737313411853214-5\times 0.20791169081775931}$$

Multiply 5 and 0.20791169081775931 to get 1.03955845408879655.

$$\frac{-86.5775858433572769}{-50.4737313411853214-1.03955845408879655}$$

Subtract 1.03955845408879655 from -50.4737313411853214 to get -51.51328979527411795.

$$\frac{-86.5775858433572769}{-51.51328979527411795}$$

Expand \frac{-86.5775858433572769}{-51.51328979527411795} by multiplying both numerator and the denominator by 100000000000000000.

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

Reduce the fraction \frac{-8657758584335727690}{-5151328979527411795} to lowest terms by extracting and canceling out -5.

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

Factor

$$\frac{2 \cdot 3 \cdot 19 \cdot 727 \cdot 3833 \cdot 5450764087}{1319 \cdot 781096130330161} = 1\frac{7.012859209616631 \times 10^{17}}{1.0302657959054824 \times 10^{18}} = 1.6806844639011969$$