How do you convert #x^2=3y# to polar form?

1 Answer
Aug 13, 2016

#r=3tanthetasectheta#

Explanation:

To convert from #color(blue)"cartesian to polar form"#

#color(orange)"Reminder"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))#

#rArr(rcostheta)^2=3(rsintheta)#

#rArrr^2cos^2theta=3rsinthetarArrrcos^2theta=3sintheta#

#rArrr=(3sintheta)/cos^2theta=(3sintheta)/costhetaxx1/costheta#

#color(orange)"Reminder"#

#color(red)(|bar(ul(color(white)(a/a)color(black)(tantheta=(sintheta)/(costheta)" and " sectheta=1/(costheta))color(white)(a/a)|)))#

#rArrr=3tanthetasectheta#