I am having some problems trying to answer part of this question
I have attached file as I don't quite know how to upload the image... yet
I have done the first part and calculated the F(t)
I understand what happens to the series when you input t=0 as it that means cos 0 = 1 and sin 0 = 0.
Same again with the third part - the best value i think to use is t=pi as cos pi = -1 and sin pi = 0.
What i'm stuck on is how I apply this to evaluate the series.