Homework Statement
Prove that for every pair of numbers x and h, \left|sin\left(x+h\right)-\left(sinx+hcosx\right)\right|\leq\frac{h^{2}}{2}
The Attempt at a Solution
Let f(x)= \left|sin\left(x+h\right)-\left(sinx-hcosx\right)\right|?
and then to center the taylor polynomial around 0...