document.write( "Question 398522: Hi, can anyone help with this complex numbers problem?\r
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document.write( "In these complex numbers questions exact values for θ are to be used and answers are to be expressed as radicals:\r
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document.write( "1. If z=18(cos315°+i*sin315°) in trigonometric form find z in standard form.\r
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document.write( "2. If z=4√(3)(cos150°+i*sin150°) in trigonometric form find z in standard form.\r
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document.write( "Thank you for your time and consideration! \n" );
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Algebra.Com's Answer #282360 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. If z=18(cos315°+i*sin315°) in trigonometric form find z in standard form. \n" ); document.write( "------ \n" ); document.write( "x = 18*cos(315) = 18*cos(-45) = 18*cos(45) = 18[sqrt(2))/2 = 9sqrt(2) \n" ); document.write( "---------------------- \n" ); document.write( "y = 18*sin(315) = 18*sin(-45) = 18[-sin(45)] = -18[sqrt(2)/2] = -9sqrt(2) \n" ); document.write( "----------------------------------------------------- \n" ); document.write( "z = (9sqrt(2))-9sqrt(2)i \n" ); document.write( "======================================= \n" ); document.write( "2. If z=4√(3)(cos150°+i*sin150°) in trigonometric form find z in standard form. \n" ); document.write( "--- \n" ); document.write( "Go thru the same process. \n" ); document.write( "Remember cos(150) = -cos(30) = -sqrt(3)/2 \n" ); document.write( "and sin(150) = sin(30) = 1/2 \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |