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

Convert The Rectangular Equation To Polar FormAssume Agt 0x2y2 7ay0 class=

Answer :

To convert the rectangular equaton to polar form, we use

[tex]x=r\cos (\theta),y=r\sin (\theta),r^2=x^2+y^2[/tex]

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

[tex]r^2-7ay=0[/tex]

Then, we replace y,

[tex]\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=\frac{7a\cdot r\sin (\theta)}{r} \\ r=7a\cdot\sin (\theta) \end{gathered}[/tex]