sin\(\rm(tan^{-1}\frac{4}{5}+tan^{-1}\frac{4}{3}+tan^{-1}\frac{1}{9}-tan^{-1}\frac{1}{7})=\)

1
\(\frac{1}{2}\)
2
\(\frac{1}{\sqrt2}\)
3
\(\frac{\sqrt3}{2}\)
4
More than one of the above.
5
None of the above

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