\left(a\right)\ Prove\ that\ \cos\left(\theta+1\right)+\cos\left(\theta-1\right)=2\cos\theta\cos1
\left(b\right)\ hence,\ prove\ \cos1\ is\ irrational
Let\ a\ and\ b\ be\ counting\ numbers,\ where\ a\ge2.\ Show\ that\ a\ is\ not\ a\ factor\ of\ b,\ nor\ a\ factor\ of\ b+1
Show\ that\ there\...