Question

Change to polar coordinates: 2y=x

Answer 1

use x= r cos A and y = r sin A

Answer 2

so is it 2rsinA = rcosA @phi

Answer 3

yes but you can simplify that
to
tan A = 1/2

Answer 4

@phi why? i dont understand how it simplifies to tan A = 1/2

Answer 5

2 r sin A = r cos A
divide both sides by r
2 sin A = cos A
divide both sides by cos A

2 (sin A)/(cos A)= 1

divide both sides by 2

sin A/ cos A= 1/2

also, tan A = sin A/ cos A

Answer 6

we can write this as

\[ A = \tan^{-1} \frac{1}{2} \]

Answer 7

@phi alright i get it, thanks!