1.

If \({\rm{\alpha }} = {\rm{co}}{{\rm{s}}^{ - 1}}\left( {\frac{3}{5}} \right),{\rm{\beta }} = {\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{1}{3}} \right)\), where \(0 < {\rm{\alpha }},{\rm{\beta }} < \frac{{\rm{\pi }}}{2},\) then α – β is equal to:

A. \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{9}{{5\sqrt {10} }}} \right)\)
B. \({\rm{co}}{{\rm{s}}^{ - 1}}\left( {\frac{9}{{5\sqrt {10} }}} \right)\)
C. \({\rm{ta}}{{\rm{n}}^{ - 1}}\left( {\frac{9}{{14}}} \right)\)
D. \({\rm{si}}{{\rm{n}}^{ - 1}}\left( {\frac{9}{{5\sqrt {10} }}} \right)\)
Answer» E.


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