(i)[1]
Sketch the graph of $y = 2\sin x$ for $0 \leq x \leq 2\pi$.
(ii)[3]
By adding an appropriate straight line to the sketch, find how many real roots the equation $2\pi \sin x = \pi - x$ has. State the equation of the straight line.
Mathematics 9709 · AS & A Level · Trigonometry