how to find intersections for a periodic function

Hello!

I am trying to plot a tangent line at an intersection of two curves.
Let?s say that the two curves are ?y=sin(x)? and ?y=0.5*x?. At first
we have to find out the intersection of these two curves. I use
?solve('sin(t)=0.5*t','t')?, however I can get only one root that?s
t=0! Because, for a periodic function, ?solve? can just give only
one root that is nearest to the zero.

I wonder how to get other roots and how to plot the tangent line at
that point.

Thanks!
Jim
.

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