Question

Find an equation equivalent to r= 1 + 2 sin thete in rectangular coordinates​

Answer 1

Answer:

x^2+y^2=(x^2+y^2-2y)^2

Step-by-step explanation:

Here we are given that

r=1+2sin

we know that the polar cordinates are represented as

x=rsin

y=rcos

Also squaring both and adding them gives you ,

Hence

also r=1+2sin

1+2sin =

Also ,

r = r=1+2sin

also sin =

Hence replacing sin we get

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