If \[\mathbf{cot}\theta \,(\mathbf{1+sin}\theta )=\mathbf{2}\text{ }\mathbf{m}\] and \[\mathbf{cot}\theta ~\]\[(\mathbf{1}-\mathbf{sin}\theta )=\mathbf{2n}\] then \[{{\left( {{\mathbf{m}}^{\mathbf{2}}}-{{\mathbf{n}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\]equals to _________.

If \[\mathbf{cot}\theta \,(\mathbf{1+sin}\theta )=\mathbf{2}\text{ }\m

1.	If \[\mathbf{cot}\theta \,(\mathbf{1+sin}\theta )=\mathbf{2}\text{ }\mathbf{m}\] and \[\mathbf{cot}\theta ~\]\[(\mathbf{1}-\mathbf{sin}\theta )=\mathbf{2n}\] then \[{{\left( {{\mathbf{m}}^{\mathbf{2}}}-{{\mathbf{n}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\]equals to _________.
A.	2 mm
B.	mn
C.	4 mn
D.	3mn
E.	None of these
Answer» D. 3mn

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If \[\mathbf{cot}\theta \,(\mathbf{1+sin}\theta )=\mathbf{2}\text{ }\mathbf{m}\] and \[\mathbf{cot}\theta ~\]\[(\mathbf{1}-\mathbf{sin}\theta )=\mathbf{2n}\] then \[{{\left( {{\mathbf{m}}^{\mathbf{2}}}-{{\mathbf{n}}^{\mathbf{2}}} \right)}^{\mathbf{2}}}\]equals to _________.

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