The equation x - sin x = a has to be solved for x. x is in radians and a is a constant.
x - sin x = a
=> x - a = sin x
The plot of sin x is :
As the true value of x is not known, it is not possible to plot the graph of x - a. If the graph is plotted with the graph of sin x, the x-coordinate of the point of contact of the two graphs is the solution of the equation x - sin x = a.
It is an equation in two variables namely x and a. It may have infinite number of solutions.
`a=npi` where n is an integer.
Let `x!=a` , then define
Let plot graph and find zero of f(x) for different values of a which in turn be the solution of the given equation.
Except blue graph when x=a , f(x) has unique solution. For different value of a, we have different solution.