MATH SOLVE

3 months ago

Q:
# Find an equation equivalent to r = 1 + 2 sin in rectangular coordinates.

Accepted Solution

A:

Answer:Step-by-step explanation:r = 1+2sinФmultiplying both sides by r ,we get [tex]r^2= r+2rsin[/tex]Ф[tex]x^2+y^2= r + 2y[/tex] [ since rsinФ = y ] [tex]x^2+y^2-2y= r[/tex][tex](x^2+y^2-2y)^2 = r^2\\x^4+y^4+4y^2+2x^2y^2-4y^3-4x^2y=x^2+y^2\\x^4+y^4+3y^2+2x^2y^2-4y^3-4x^2y-x^2 =0[/tex]