# Question: the illustrated curves below are those of y sinx and...

###### Question details

The illustrated curves below are those of y= sinx and y= 2sinx cosx between x=0 and x=2$\mathrm{\pi}$.

Identify each curve

show that the points of intersection between 0 $\le $x$\le $$\mathrm{\pi}$ are at x=0, x=$\frac{\mathrm{\pi}}{3}$, and x=2$\mathrm{\pi}$

FInd the total area enclosed between the curves between 0$\le $x$\le \mathrm{\pi}$, and hence use symmetry to find the total area enclosed between y=sinx and y=2sinx cosx between 0$\le $x$\le 2\mathrm{\pi}$