Q: Using the Intermediate Value Theorem I need help please with the following question. (Do I need to use radians in dealing   with the $\sin$ part?))
(a) Use the Intermediate Value Theorem to show that the equation $x + \sin(x) = 1$, has at 
     least one solution in the interval $[0,1]$.
(b) Find an approximation of the solution with an error of at most $0.05$.  

A: (a)Take $\,f(x)=x+\sin x−1$ .Now you can see that $f(0)$ is negative and $f(1)$ is positive, So $f(x)$ will be zero for some intermediate value. So, equation will have a solution.
(b)find $f(0.5)$ and see if it is positive then solution will lie between $0$ and $0.5\,$ else it will lie between $0.5$ and $1$, then go to appropriate range and keep doing it further .
