Find the number of solutions of `sinx=x/(10)`

Explanation

Here, let `f(x)=sin x` and ` g(x)=(x)/(10).`
Also, we know that `-1 le sinx le 1 " or " -1 le (x)/(10) le1 " or " -10 le x le 10 `
Now, sketch both the curves when ` x in [-10,10].`

From the figure, ` f(x)=sinx` and `g(x)=(x)/(10)` intersect at 7 points.
So, number of solutions is 7.