General proof tip: Before you start writing your proof, first work in a "scratchwork" section. Use your seratchwork to first figure out what you have, what you need and what you are going to do. AFTER you figure out why the statement is true in your scratchwork, THEN write up your findings formally in a proof. I will absolutely take whatever scratchwork you include and use it to help you figure out if/when you go wrong (and give you partial (credit).\ I have included a sample proof on the following page for you to use for formatting help.\ Question 1. Let

r,sinQ

. Prove the following:\ (a) The product

rsinQ

.\ (b) IThe quotient

(T)/(s)inQ

provided

s!=0

.\ (c) It is not always true that

r^(s)

is rational.

General proof tip: Before you start writing your proof, first work in a "scratchwork" section. Use your scratchwork to first figure out what you have, what you need and what you are going to do. AFTER you figure out why the statement is true in your scratchwork, THEN write up your findings formally in a proof. I will absolutely take whatever seratchwork you include and use it to help you figure out if/when you go wrong (and give you partial (credit). I have included a sample proof on the following page for you to use for formatting help. Question 1. Let r,sQ. Prove the following: (a) The product rsQ. (b) IThe quotient sTQ provided s=0. (c) It is not always true that rs is rational