Convert the equation r = sin ⁡ θ + cos ⁡ θ to rectangular form?

1 Answer
Hriman
Apr 2, 2018

#x^2+y^2= y+x#

Explanation:

# r = sin ⁡ θ + cos ⁡ θ#

Converting from Polar to Rectangular:
#r= sqrt(x^2+y^2)#
Also
#y= rsintheta#
#x=rcostheta#

Given:
# r = sin ⁡ θ + cos ⁡ θ#
Multiply both sides by #r#:
#r^2= rsintheta+rcostheta#
#(sqrt(x^2+y^2))^2= y+x#
#x^2+y^2= y+x#

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