What is the value of \[\tan \left( {{\tan }^{-1}}x+{{\tan }^{-1}}y+{{\tan }^{-1}}z \right)-\cot (co{{t}^{-1}}x+co{{t}^{-1}}y+co{{t}^{-1}}z)?\]

What is the value of \[\tan \left( {{\tan }^{-1}}x+{{\tan }^{-1}}y+{{\

1.	What is the value of \[\tan \left( {{\tan }^{-1}}x+{{\tan }^{-1}}y+{{\tan }^{-1}}z \right)-\cot (co{{t}^{-1}}x+co{{t}^{-1}}y+co{{t}^{-1}}z)?\]
A.	0
B.	\[2(x+y+z)\]
C.	\[\frac{3\pi }{2}\]
D.	\[\frac{3\pi }{2}+x+y+z\]
Answer» B. \[2(x+y+z)\]

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What is the value of \[\tan \left( {{\tan }^{-1}}x+{{\tan }^{-1}}y+{{\tan }^{-1}}z \right)-\cot (co{{t}^{-1}}x+co{{t}^{-1}}y+co{{t}^{-1}}z)?\]

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