Recent content by unfunf

lol. well thank you for the help. I've used double angle a bunch of times, but for whatever reason i did not notice that i could use it to help me out in this problem. office_shredder, yeah I know I can use points where I know this will fail and show that as a proof. I included that for good...

Thank you :). I was able to use the double-angle formula (which I didn't even think to use for some reason!) to show that property 1 is not satisfied. What I did; however, was allow the two values, r1 and r2 to be equal to 1. This should be valid as the property needs to hold for all r1 and r2...

Yes, your final sentence is what I know my problem is. I was sure of this while I was doubling the angles. The problem is I do not see how I would double the angles in a case where you are adding two elements. for T(x + y), I have no reason to assume that the elements have the same r or θ. So...

Homework Statement Show whether or not the following transformation T is a linear transformation, given the description of T: T maps each point in R2 w/ polar coords. (r, θ) to R2 w/ polar coords. (r, 2θ). T maps zero-element to itself (T(0) = 0)Homework Equations I suppose (x, y) = (rcos(θ)...