Solve sin^-11/2-2sin^-11/sqrt{2}

$$\sin ^ { - 1 } \frac { 1 } { 2 } - 2 \sin ^ { - 1 } \frac { 1 } { \sqrt { 2 } }$$

Evaluate

$$-\frac{85200713029633100000000000000000}{1794907013406150168541783259559}\approx -47.468037282$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.008726535498373935 ^ {-1} - 2 \cdot 0.012341028214969884 ^ {-1}$$

Calculate 0.008726535498373935 to the power of -1 and get \frac{200000000000000000}{1745307099674787}.

$$\frac{200000000000000000}{1745307099674787}-2\times 0.012341028214969884^{-1}$$

Calculate 0.012341028214969884 to the power of -1 and get \frac{250000000000000000}{3085257053742471}.

$$\frac{200000000000000000}{1745307099674787}-2\times \frac{250000000000000000}{3085257053742471}$$

Multiply 2 and \frac{250000000000000000}{3085257053742471} to get \frac{500000000000000000}{3085257053742471}.

$$\frac{200000000000000000}{1745307099674787}-\frac{500000000000000000}{3085257053742471}$$

Subtract \frac{500000000000000000}{3085257053742471} from \frac{200000000000000000}{1745307099674787} to get -\frac{85200713029633100000000000000000}{1794907013406150168541783259559}.

$$-\frac{85200713029633100000000000000000}{1794907013406150168541783259559}$$

Factor

$$-\frac{85200713029633100000000000000000}{1794907013406150168541783259559} = -47\frac{8.400833995440351 \times 10^{29}}{1.7949070134061502 \times 10^{30}} = -47.46803728174744$$