How to solve "sinx=x/2"?

Easy
It is only possible for x=0
the value of Sinx varies from -1 to +1 !!
So for any other value of x the equation doesnt hold true!!

HELLO

no

but here's the graph for sinx=x
http://www.db.fks.ed.jp/txt/60000.kiyou/kiyou_054/image/00039_05.jpg

There is no algebraic solution. There is a trivial one x=0.

For the other solution you can do it graphically, by drawing y=sin x and y=x/2.

Or iteratively by writing x = 2*sin x.
Plug x=2 in your calculator (choose radians, not degrees) and calculate the RHS => 1,81859... Continue to iterate with the new approximation.
End result: x=1.895494... or 104.2 degrees

do your own damn homework and stop googling your answers!

No direct way to solve it. you have to use an iterative method. First substitute a value for x only on the RHS, and get the value of x by taking arcsin(x/2) . Now substitute this value of x back in the RHS, and get x again, and so on until the x you substitute is almost equal to the x you get. The trivial solution is x=0. But there will be another solution which you have to find out using the above method. Graphically it is the meeting point of the curve y=x/2 and y=sinx