document.write( "Question 860530: Find a rectangular form of the equation r(sinx + 3cosx) = 4. Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #518502 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
Polar coordinates usually involve $\"r\"$ and $\"theta\"$ ,
\n" ); document.write( "while for rectangular coordinates we usually use $\"x\"$ and $\"y\"$ .
\n" ); document.write( "To relate them we have
\n" ); document.write( " $\"x=r%2Acos%28theta%29\"$ , $\"y=r%2Asin%28theta%29\"$ ,
\n" ); document.write( " $\"r=sqrt%28x%5E2%2By%5E2%29\"$ , and $\"tan%28theta%29=y%2Fx\"$
\n" ); document.write( "
\n" ); document.write( " $\"r%28sin%28theta%29+%2B+3cos%28theta%29%29+=+4\"$
\n" ); document.write( " $\"r%2Asin%28theta%29+%2B+3%2Ar%2Acos%28theta%29+=+4\"$
\n" ); document.write( " $\"y+%2B+3%2Ax+=+4\"$
\n" ); document.write( " $\"highlight%283x%2By=4%29\"$ \n" ); document.write( "

\n" );