If \[\alpha \in \left( -\frac{3\pi }{2},-\pi \right)\]then the value of \[{{\tan }^{-1}}(cot\alpha )\]-\[{{\cot }^{-1}}(tan\alpha )+si{{n}^{-1}}(sin\alpha )+co{{s}^{-1}}(cos\alpha )\]is equal to

If \[\alpha \in \left( -\frac{3\pi }{2},-\pi \right)\]then the value

1.	If \[\alpha \in \left( -\frac{3\pi }{2},-\pi \right)\]then the value of \[{{\tan }^{-1}}(cot\alpha )\]-\[{{\cot }^{-1}}(tan\alpha )+si{{n}^{-1}}(sin\alpha )+co{{s}^{-1}}(cos\alpha )\]is equal to
A.	\[2\pi +a\]
B.	\[\pi +a\]
C.	0
D.	\[\pi -a\]
Answer» D. \[\pi -a\]

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If \[\alpha \in \left( -\frac{3\pi }{2},-\pi \right)\]then the value of \[{{\tan }^{-1}}(cot\alpha )\]-\[{{\cot }^{-1}}(tan\alpha )+si{{n}^{-1}}(sin\alpha )+co{{s}^{-1}}(cos\alpha )\]is equal to

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