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

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

Evaluate

$$-\frac{3430349932186463314746404177839210000000000000000}{60926577503285252543669588412745810656266330727}\approx -56.303013771$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.017455064928217585 ^ {-1} + 0.9999619230641713 ^ {-1} + -0.008726535498373935 ^ {-1}$$

Calculate 0.017455064928217585 to the power of -1 and get \frac{200000000000000000}{3491012985643517}.

$$\frac{200000000000000000}{3491012985643517}+0.9999619230641713^{-1}-0.008726535498373935^{-1}$$

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

$$\frac{200000000000000000}{3491012985643517}+\frac{10000000000000000}{9999619230641713}-0.008726535498373935^{-1}$$

Add \frac{200000000000000000}{3491012985643517} and \frac{10000000000000000}{9999619230641713} to get \frac{2034833975984777770000000000000000}{34908800585660854934088168224621}.

$$\frac{2034833975984777770000000000000000}{34908800585660854934088168224621}-0.008726535498373935^{-1}$$

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

$$\frac{2034833975984777770000000000000000}{34908800585660854934088168224621}-\frac{200000000000000000}{1745307099674787}$$

Subtract \frac{200000000000000000}{1745307099674787} from \frac{2034833975984777770000000000000000}{34908800585660854934088168224621} to get -\frac{3430349932186463314746404177839210000000000000000}{60926577503285252543669588412745810656266330727}.

$$-\frac{3430349932186463314746404177839210000000000000000}{60926577503285252543669588412745810656266330727}$$