document.write( "Question 1201677: PLEASE do GIVE CoRRECT AnSwers\r
\n" ); document.write( "\n" ); document.write( "1. Convert the rectangular form of the complex number 2-2i
\n" ); document.write( " into polar form. Show all work and label the modulus and argument.\r
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\n" ); document.write( "\n" ); document.write( "2. Find all cube roots of the complex number 64(cos(219 degree) + i sin (219 degree)). Leave answers in polar form and show all work.
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Algebra.Com's Answer #836161 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "1. Convert 2-2i to polar form

\n" ); document.write( "\"abs%282%29=abs%28-2%29\", so the reference angle is 45 degrees, or pi/4 radians.

\n" ); document.write( "The given number has positive real part and negative imaginary part, so it is in quadrant IV. A 45 degree reference angle in quadrant IV is -45 degrees, or -pi/4 radians.

\n" ); document.write( "The modulus is \"sqrt%28%282%5E2%29%2B%28-2%29%5E2%29=sqrt%288%29=2sqrt%282%29\".

\n" ); document.write( "ANSWERS:
\n" ); document.write( "(2*sqrt(2),-pi/4) or (2*sqrt(2))cis(-pi/4)
\n" ); document.write( "modulus: 2*sqrt(2)
\n" ); document.write( "argument: -pi/4

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