SOLUTION: The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). y=x

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Question 936570: The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ).
y=x

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

The polar substitutions are:

x%2Fr=cos%28theta%29 -> x=r%2Acos%28theta%29
y%2Fr=sin%28theta%29 -> y=r%2Asin%28theta%29
r%5E2=x%5E2%2By%5E2    -> r=sqrt%28x%5E2%2By%5E2%29

y=x
r%2Asin%28theta%29=r%2Acos%28theta%29
divide both sides by r%2Acos%28theta%29
sin%28theta%29%2Fcos%28theta%29=1
tan%28theta%29=1
theta=pi%2F4

Edwin