If \[\mathbf{2}\beta \,\mathbf{sin}\theta =\alpha \,\mathbf{cos}\theta \] and \[\mathbf{2}\alpha \,\mathbf{cosec}\theta -\beta \,\mathbf{sec}\theta =\mathbf{3}\] then what is the value of\[\left( {{\alpha }^{\mathbf{2}}}+\mathbf{4}{{\beta }^{\mathbf{2}}} \right)\]?

If \[\mathbf{2}\beta \,\mathbf{sin}\theta =\alpha \,\mathbf{cos}\theta

1.	If \[\mathbf{2}\beta \,\mathbf{sin}\theta =\alpha \,\mathbf{cos}\theta \] and \[\mathbf{2}\alpha \,\mathbf{cosec}\theta -\beta \,\mathbf{sec}\theta =\mathbf{3}\] then what is the value of\[\left( {{\alpha }^{\mathbf{2}}}+\mathbf{4}{{\beta }^{\mathbf{2}}} \right)\]?
A.	4
B.	1
C.	2
D.	5
Answer» B. 1

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If \[\mathbf{2}\beta \,\mathbf{sin}\theta =\alpha \,\mathbf{cos}\theta \] and \[\mathbf{2}\alpha \,\mathbf{cosec}\theta -\beta \,\mathbf{sec}\theta =\mathbf{3}\] then what is the value of\[\left( {{\alpha }^{\mathbf{2}}}+\mathbf{4}{{\beta }^{\mathbf{2}}} \right)\]?

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