Solve frac{cos330^{circ}*sin140^circ}{sin(-160^circ)*tan405^circ*sin290^circ}

$$\frac { \cos 330 ^ { \circ } \cdot \sin 140 ^ { \circ } } { \sin ( - 160 ^ { \circ } ) \cdot \tan 405 ^ { \circ } \cdot \sin 290 ^ { \circ } }$$

Evaluate

$$-\frac{423468600378871700000000000000000}{64195056255048889826721361574253}\approx -6.596592091$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{-0.8469372007577434}{-0.3420201433256689 \cdot -0.37538757589445754}$$

Multiply -0.3420201433256689 and -0.37538757589445754 to get 0.128390112510097779653442723148506.

$$\frac{-0.8469372007577434}{0.128390112510097779653442723148506}$$

Expand \frac{-0.8469372007577434}{0.128390112510097779653442723148506} by multiplying both numerator and the denominator by 1000000000000000000000000000000000.

$$\frac{-846937200757743400000000000000000}{128390112510097779653442723148506}$$

Reduce the fraction \frac{-846937200757743400000000000000000}{128390112510097779653442723148506} to lowest terms by extracting and canceling out 2.

$$-\frac{423468600378871700000000000000000}{64195056255048889826721361574253}$$