# Post-midterm notes

- StudyBlue
- Canada
- Wilfrid Laurier University
- Mathematics
- Mathematics 121
- Bauman
- Post-midterm notes

**Created:**2014-06-15

**Last Modified:**2014-07-30

^{n}=Σ(nCk)a

^{n-k}b

^{k}

^{n-k}b

^{k}

^{2}

^{n}=n∑k=0(nCk)a

^{n-k}b

^{k}.

^{-1}

^{1}/z

^{2}is the complex number z

_{1}×z

_{2}

^{-1.}

^{2}+b

^{2}).

^{1/2}

^{-1}|=|w|/|z| whenever z≠=(0,0)

^{-1}|=|1/2|=1/|2| whenever z≠(0,0)

^{2}θ+sin

^{2}θ=1

^{2}θ-sin

^{2}θ

^{2}θ=(1-cos2θ)/2

^{2}θ=(1+cos2θ)/2

^{2}=b

^{2}+c

^{2}-2bc(cosA)

^{2}+c

^{2}-a

^{2})/2bc

_{1}z

_{2}=r

_{1}r

_{2}cis(θ

_{1}+θ

_{2)}

_{}

_{}

_{2}/z

_{1}=r

_{2}/r

_{1}cis(θ

_{2}-θ

_{1)}

_{}

_{}

^{2}=r

^{2}cis(2θ)

^{n}=r

^{n}cis(nθ).

^{th}roots of w=1

^{2}

^{}

_{1}+z

_{2}=z

_{2}+z

_{1}

_{1}z

_{2}=z

_{2}z

_{1}

_{1}+z

_{2})+z

_{3}=z

_{1}+(z

_{2}+z

_{3})

_{1}z

_{2})z

_{3}=z

_{1}(z

_{2}z

_{3})

_{1}+z

_{2})z

_{3}=z

_{1}z

_{3}+z

_{2}z

_{3}

_{1}(z

_{2}+z

_{3})=z

_{1}z

_{2}+z

_{1}z

_{3}

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