Question

$$\tan ^ { - 1 } ( - \frac { 1 } { \sqrt { 3 } } ) + \cot ^ { - 1 } ( \frac { 1 } { \sqrt { 3 } } ) + \tan ^ { - 1 } | \sin ( \frac { - \pi } { 2 } ) |$$

Evaluate

$-\frac{19191871662836314017707225577906941325000000000000}{194675965581862765622201292822544640999941293533}\approx -98.583672645$

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