0606 P22 - Mar 2023 - Q11 - 9 marks
7780
The normal to the curve
\(y=\sin(4x-\pi)\)
at the point \(A(a,0)\), where \(\frac{\pi}{2}\lt a\lt \pi\), meets the \(y\)-axis at the point \(B\).
Find the exact area of triangle \(OAB\), where \(O\) is the origin.
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