SOLUTION: Find a rectangular form of the equation r(sinx + 3cosx) = 4. Thank you for your help!

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Question 860530: Find a rectangular form of the equation r(sinx + 3cosx) = 4. Thank you for your help!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Polar coordinates usually involve r and theta ,
while for rectangular coordinates we usually use x and y .
To relate them we have
x=r%2Acos%28theta%29 , y=r%2Asin%28theta%29 ,
r=sqrt%28x%5E2%2By%5E2%29 , and tan%28theta%29=y%2Fx

r%28sin%28theta%29+%2B+3cos%28theta%29%29+=+4
r%2Asin%28theta%29+%2B+3%2Ar%2Acos%28theta%29+=+4
y+%2B+3%2Ax+=+4
highlight%283x%2By=4%29