Question

Convert the rectangular equation to polar form.Assume a> 0x^2+y^2 -7ay=0

Answer 1

To convert the rectangular equaton to polar form, we use

`x=r\cos (\theta),y=r\sin (\theta),r^2=x^2+y^2`

we replace x^2 + y^2 by r^2,

`r^2-7ay=0`

Then, we replace y,

`\begin{gathered} r^2-7a(r\sin (\theta))=0 \\ r^2=7a\cdot r\sin (\theta) \\ r\cdot r=7a\cdot r\sin (\theta) \\ r=(7a\cdot r\sin (\theta))/(r) \\ r=7a\cdot\sin (\theta) \end{gathered}`