randomness instead of subbing in 1-cos^2 A for sin^2 A you could have just gone sin^2 A + cos^2 A = 1 its faster thats all. :D err i have to learn how to use this latex thingy now :l
high school speeches are just essay read out loud so saying stuff like that IMO is kinda time wasting, what they are looking for is analysis and how u are able to tie it to your thesis.