If (tan theta + 2) (2 tan theta + 1) = A tan theta+ B sec²theta,, then AB.
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A
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LHS =2tan
2
θ+tanθ+4tanθ+2=2tan
2
θ+5tanθ+2
=2sec
2
θ−2+5tanθ+2
=2sec
2
θ+5tanθ
= RHS
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