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0606 P21 - Jun 2021 - Q4 - 5 marks
7975

The graph of

\(y=a+2\tan bx,\)

where \(a\) and \(b\) are constants, passes through the point \((0,-4)\) and has period \(480^\circ\).

(a) Find the value of \(a\) and of \(b\).

(b) On the axes, sketch the graph of \(y\) for values of \(x\) between \(0^\circ\) and \(480^\circ\).

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