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

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

求值

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

求解步骤

对题中的三角函数求值

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

计算 2 的 0.6289289042585838 乘方，得到 0.39555156661190286791917598162244。

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

将 1 减去 11.430052302761336，得到 -10.430052302761336。

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

将分子和分母同时乘以 100000000000000000000000000000000 以展开 \frac{0.39555156661190286791917598162244}{-10.430052302761336}。

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

通过求根和消去 4，将分数 \frac{39555156661190286791917598162244}{-1043005230276133600000000000000000} 降低为最简分数。

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