Verified answer

http://www.wolframalpha.com/input/?i=pi*sin%28x%29...

I know I'm being lazy just giving you a link, but this problem cannot be solved

algebraically so it is best left to a graphing calculator.

Edit: x = 0 is just a guess, not an assumption. It happens to work but it is not

the only solution. If you know a numerical method like Newton's Method then

this would be the time to use it, but if you don't know it and can't use a graphing

calculator then the best approach is to graph y = pi*sin(x) and y = x manually

and find where the two curves intersect.

x=0

π sin (x) - x = 0

π sin (x) = x

sin (x) = x/π

sin(0) = 0 = 0/π

therefore

x = 0