Solve sin^245^circ*cos30^circ/1+tan95^circ

$$\frac { \sin ^ { 2 } 45 ^ { \circ } \cdot \cos 30 ^ { \circ } } { 1 + \tan 95 ^ { \circ } }$$

Evaluate

$$-\frac{9888789165297571697979399540561}{260751307569033400000000000000000}\approx -0.037924217$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.6289289042585838 ^ {2}}{1 + -11.430052302761336}$$

Calculate 0.6289289042585838 to the power of 2 and get 0.39555156661190286791917598162244.

$$\frac{0.39555156661190286791917598162244}{1-11.430052302761336}$$

Subtract 11.430052302761336 from 1 to get -10.430052302761336.

$$\frac{0.39555156661190286791917598162244}{-10.430052302761336}$$

Expand \frac{0.39555156661190286791917598162244}{-10.430052302761336} by multiplying both numerator and the denominator by 100000000000000000000000000000000.

$$\frac{39555156661190286791917598162244}{-1043005230276133600000000000000000}$$

Reduce the fraction \frac{39555156661190286791917598162244}{-1043005230276133600000000000000000} to lowest terms by extracting and canceling out 4.

$$-\frac{9888789165297571697979399540561}{260751307569033400000000000000000}$$