document.write( "Question 219547: express 2(cos300 dwgrees + i sin300 degrees) in rectangular form \n" ); document.write( "

Algebra.Com's Answer #165074 by jsmallt9(3758) $\"\"$ $\"About$

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To convert from polar to rectangular use the equations (using \"t\" instead of theta because Algebra.com's formula software doesn't draw theta):
\n" ); document.write( " $\"x+=+r%2Acos%28t%29\"$ and $\"y+=+r%2Asin%28t%29\"$
\n" ); document.write( "Since you r is 2 and $\"cos%28300%29+=+1%2F2\"$ and $\"sin%28300%29+=+-sqrt%283%29%2F2\"$ we get:
\n" ); document.write( " $\"x+=+2%281%2F2%29+=+1\"$ and $\"y+=+2%28-sqrt%283%29%2F2%29+=+-sqrt%283%29\"$
\n" ); document.write( "So $\"2%28cos%28300%29+%2B+i%2Asin%28300%29%29\"$ in rectangular form is ( $\"1\"$ , $\"-sqrt%283%29i\"$ ). \n" ); document.write( "

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