3.17: Tangent graph: constants and sketch

0606/21/M/J/21 — Question 4 · 5 marks

The graph of y=a+tan bxy = a + \mathrm{tan}\,bx, where aa and bb are constants, passes through the point (0,−4)(0, -4) and has period 480∘480^{\circ}.
(a)
Find the value of aa and of bb.
[3]
(b)
On the axes, sketch the graph of yy for values of xx between 0∘0^{\circ} and 480∘480^{\circ}.
[2]