Solve 1^-1(1)+cos^-1(-1/2)+sin^-1(-1/2)

$$1 ^ { - 1 } ( 1 ) + \cos ^ { - 1 } ( \frac { - 1 } { 2 } ) + \sin ^ { - 1 } ( \frac { - 1 } { 2 } )$$

Evaluate

$$-\frac{1965018368694311216913792383409869}{17452406437283513086207616590131}\approx -112.592975402$$

Solution Steps

Evaluate trigonometric functions in the problem

$$1 ^ {-1} {(1)} + 0.9999619230641713 ^ {-1} + -0.008726535498373935 ^ {-1}$$

Multiply 1^{-1} and 1 to get 1.

$$1+0.9999619230641713^{-1}-0.008726535498373935^{-1}$$

Calculate 0.9999619230641713 to the power of -1 and get \frac{10000000000000000}{9999619230641713}.

$$1+\frac{10000000000000000}{9999619230641713}-0.008726535498373935^{-1}$$

Add 1 and \frac{10000000000000000}{9999619230641713} to get \frac{19999619230641713}{9999619230641713}.

$$\frac{19999619230641713}{9999619230641713}-0.008726535498373935^{-1}$$

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

$$\frac{19999619230641713}{9999619230641713}-\frac{200000000000000000}{1745307099674787}$$

Subtract \frac{200000000000000000}{1745307099674787} from \frac{19999619230641713}{9999619230641713} to get -\frac{1965018368694311216913792383409869}{17452406437283513086207616590131}.

$$-\frac{1965018368694311216913792383409869}{17452406437283513086207616590131}$$

Factor

$$-\frac{1965018368694311216913792383409869}{17452406437283513086207616590131} = -112\frac{1.0348847718557592 \times 10^{31}}{1.7452406437283514 \times 10^{31}} = -112.59297540174457$$