Question

limit (sin(x-h)-sin(x))/(h)

I have no idea how to even start this >.<

Answer 1

subtraction angle formula is a good place to start

Answer 2

what is even easier is knowing that the derivative of sine is cosine, you are done in one step
but if you do not know that, you need to use the subtraction angle formula to deal with
\[\sin(x-h)\]

Answer 3

@shamil98 know's this ;D

Answer 4

You will also need to use the following limits \[
\lim_{x\to 0}\frac{\sin (x)}{x}=1
\]\[
\lim_{x\to 0}\frac{1-\cos(x)}{x}=0
\]