Write the equation r=sin(theta)+1 in rectangular coordinates. Please show step by step instructions.
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mlehuzzah
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To switch between rectangular and polar coordiates, keep the following in mind:
`x = r cos theta`
`y= r sin theta`
`r = sqrt(x^2+y^2)` so `r^2 = x^2+y^2`
`theta = "Tan"^(-1)(y/x)` so `"tan" theta = y/x`
Thus, one way to turn this into a rectangular expression is:
`r = sin theta + 1`
`r^2 = r sin theta + r`
`x^2+y^2 = y + sqrt(x^2+y^2)`
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