Recent content by Carson

So does it make sense to say the following in order to prove this set is a vector space: f(t+2π) + g(t+2π)= (f+g)(t+2π) = f(t) + g(t) = (f+g)(t) (cf)(t+2π) = c [ f(t+2π) ] = c [f(t)] = (cf) (t)

Homework Statement Problem- Determine if the set of all function y(t) which have period 2pi forms a vector space under operations of function addition and multiplication of a function by a constant. What I know- So I know this involves sin, cos, sec, and csc. Also I know that a vector space...