If 0 lt a lt (pi)/(2) and sinA +cosA+tan...

If `0 lt a lt (pi)/(2)` and sinA +cosA+tanA+cotA+secA+cosecA = 7, sinA and cosA are roots of equation `4x^(2) -3x +alpha = 0`, then the value of `|(25alpha)/(4)|` is _____________.

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The correct Answer is:

7

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