document.write( "Question 1206023: Given: (3i-7) \r
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document.write( " A. Write in polar form showing work.\r
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document.write( "B. What is the Cartesian form ? \n" );
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Algebra.Com's Answer #843208 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "I'll discuss a different way to find the angle theta.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tan(theta) = y/x \n" ); document.write( "theta = arctan(y/x) \n" ); document.write( "theta = arctan(3/(-7)) \n" ); document.write( "theta = -23.19859 degrees approximately\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An angle coterminal to this is roughly -23.19859+360 = 336.80141 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This places the angle in quadrant Q4 (southeast), but it should be in quadrant Q2 (northwest) as the other tutor illustrates. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We must subtract off 180 to get the angle pointed in the right direction. \n" ); document.write( "336.80141 - 180 = 156.80141 \n" ); document.write( " \n" ); document.write( " |