Solve sec^-12+csc^-1(-2)/cot^-1(-sqrt{3)}

$$\frac { \sec ^ { - 1 } 2 + \csc ^ { - 1 } ( - 2 ) } { \cot ^ { - 1 } ( - \sqrt { 3 } ) }$$

Evaluate

$$-\frac{1828956954323503392749898030912598}{57342348104814705912545366242005}\approx -31.895396941$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1.0006095442988217 ^ {-1} + -28.653708347843825 ^ {-1}}{-33.06965644821403 ^ {-1}}$$

Calculate 1.0006095442988217 to the power of -1 and get \frac{10000000000000000}{10006095442988217}.

$$\frac{\frac{10000000000000000}{10006095442988217}-28.653708347843825^{-1}}{-33.06965644821403^{-1}}$$

Calculate 28.653708347843825 to the power of -1 and get \frac{40000000000000}{1146148333913753}.

$$\frac{\frac{10000000000000000}{10006095442988217}-\frac{40000000000000}{1146148333913753}}{-33.06965644821403^{-1}}$$

Subtract \frac{40000000000000}{1146148333913753} from \frac{10000000000000000}{10006095442988217} to get \frac{11061239521418001320000000000000}{11468469620962941182509073248401}.

$$\frac{\frac{11061239521418001320000000000000}{11468469620962941182509073248401}}{-33.06965644821403^{-1}}$$

Calculate 33.06965644821403 to the power of -1 and get \frac{100000000000000}{3306965644821403}.

$$\frac{\frac{11061239521418001320000000000000}{11468469620962941182509073248401}}{-\frac{100000000000000}{3306965644821403}}$$

Factor

$$-\frac{1828956954323503392749898030912598}{57342348104814705912545366242005} = -31\frac{5.134416307424727 \times 10^{31}}{5.734234810481471 \times 10^{31}} = -31.895396940850706$$