Question

if x=rcos and y=rsin, solve for r from the equation y=3x+2 PLEASE HELP I GOT HALFWAY THROUGH BUT IM STUCK...

Answer 1

\(\huge\color{red}{\bigstar}\color{orange}{\bigstar}\color{yellow}{\bigstar}\color{lightgreen}{\bigstar}\color{green}{\bigstar}\color{turquoise}{\bigstar}\color{royalblue}{\bigstar}\color{purple}{\bigstar}~\color{#00bfff}{\bigstar}\color{#00bfff}{\bigstar}\color{#00bfff}{\bigstar}\color{#11c520}{\bigstar}\color{#11c520}{\bigstar}\color{#11c520}{\bigstar}\\\huge\cal\color{red}W\color{orange}E\color{goldenrod}L\color{yellow}C\color{lightgreen}O\color{darkgreen}M\color{turquoise}E~~\color{royalblue}T\color{purple}O~~\color{#00bfff}{Open}\color{#11c520}{Study}\\\huge\color{red}{\bigstar}\color{orange}{\bigstar}\color{yellow}{\bigstar}\color{lightgreen}{\bigstar}\color{green}{\bigstar}\color{turquoise}{\bigstar}\color{royalblue}{\bigstar}\color{purple}{\bigstar}~\color{#00bfff}{\bigstar}\color{#00bfff}{\bigstar}\color{#00bfff}{\bigstar}\color{#11c520}{\bigstar}\color{#11c520}{\bigstar}\color{#11c520}{\bigstar}\)

Answer 2

THANK U SO MUCH!

Answer 3

I will tag some users that may be able to help you.
@TheSmartOne @zepdrix

Answer 4

\[\frac{2}{\sin(t)-3\cos(t)}\]

Answer 5

how did u divide out the r?

Answer 6

Hey Elizabeth :)
We want to convert to polar using these:\[\Large\rm \color{orangered}{x=r \cos \theta}\]\[\Large\rm \color{royalblue}{y=r \sin \theta}\]
So we plug in the stuff,\[\Large\rm \color{royalblue}{y}=3\color{orangered}{x}+2\]\[\Large\rm \color{royalblue}{r \sin\theta}=3\color{orangered}{r\cos\theta}+2\]Subtract the cosine term to the other side,\[\Large\rm r \sin \theta-3 r \cos \theta=2\]Factor an r out of each term,
(I'm assuming this is the step that was maybe confusing you),\[\Large\rm r(\sin \theta-3\cos \theta)=2\]Then divide by the stuff,\[\Large\rm r=\frac{2}{\sin \theta-3\cos \theta}\]

Mmm k? :)