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If: $\sin^{- 1} (\sin \frac{33 π}{7}) + \cos^{- 1} (\cos (\frac{46 π}{7})) + \tan^{- 1} (- \tan \frac{13 π}{8}) + \cot^{- 1} (\cot (- \frac{19 π}{8})) = \frac{a π}{b}$
Where a and b are positive integers in their lowest form, then (a + b) is

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answer is B.

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Detailed Solution

$\frac{a π}{b} = \frac{13 π}{7}$

$\Rightarrow a = 13, b = 7$

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