Question

please help me out. :)
what is the polar form for y = 3x ?

Answer 1

\(x = r \cos \theta\)

\(y = r \sin \theta\)

Answer 2

substitute these in the given equation

Answer 3

r sin theta = 3 r cos theta ?

Answer 4

yup ! u may cancel r both sides

Answer 5

\(\sin \theta = 3 \cos \theta\)

\(\tan \theta = 3\)

Answer 6

sin theta = 3 cos theta ?

Answer 7

yes, divide cos theta both sides

Answer 8

tan theta = 3 ?

Answer 9

\(\large \color{red}{\checkmark}\)

Answer 10

but why? i thought in the polar form, there's always "r" in the final answer..

Answer 11

in cartesian form, do u have \(y\) in the equation always ?

Answer 12

am, i don't know.. maybe no?