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CBSE Class 11-science Answered

The arugument of -1-i 
is if not 3pi/4 .?? (Why)
Asked by Shubham Kumar | 31 Dec, 2014, 12:38: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space c o m p l e x space n u m b e r z equals minus 1 minus i. T h e n comma r equals open vertical bar z close vertical bar equals square root of open parentheses minus 1 close parentheses squared plus open parentheses minus 1 close parentheses squared end root equals square root of 2 L e t space tan alpha equals open vertical bar fraction numerator I m open parentheses z close parentheses over denominator R e open parentheses z close parentheses end fraction close vertical bar equals open vertical bar fraction numerator minus 1 over denominator minus 1 end fraction close vertical bar equals 1 rightwards double arrow tan alpha equals tan straight pi over 4 rightwards double arrow alpha equals straight pi over 4 T h e space p o i n t space left parenthesis minus 1 comma minus 1 right parenthesis space l i e s space i n space t h e space t h i r d space q u a d r a n t. space T h e r e f o r e comma space t h e space a r g u m e n t space o f space z space i s space g i v e n space b y : theta equals minus open parentheses straight pi minus straight alpha close parentheses equals minus open parentheses straight pi minus straight pi over 4 close parentheses equals fraction numerator minus 3 straight pi over denominator 4 end fraction
Answered by Vimala Ramamurthy | 01 Jan, 2015, 12:03: PM

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