9709 P33 - Nov 2015 - Q6 - 8 marks
134
The angles \(A\) and \(B\) are such that:
\(\sin(A + 45^\circ) = (2\sqrt{2}) \cos A\)
and
\(4 \sec^2 B + 5 = 12 \tan B.\)
Without using a calculator, find the exact value of \(\tan(A - B)\).
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