Finding Intersection of Curves: sin(x) and 2|x|/pi

[phospho]

Calculate the are of the finite region enclosed by the curves $y = \dfrac{2|x|}{\pi}$ and $y = sin(x)$

I understand that the integral is $sin(x) - \dfrac{2x}{\pi}$ however I'm having troubles finding where they intersect, I can only find x= 0, how do I solve $sin(x) = \dfrac{2x}{\pi}$ ? I can see by observation that 0, pi/2, -pi/2 work but is there a method to find these instead of observation?

 

[tiny-tim]

hi phospho!

I can see by observation that 0, pi/2, -pi/2 work but is there a method to find these instead of observation?

sorry, not without a computer or special tables

but what's wrong with observation? ​