anonymous
  • anonymous
A(11,-70`) B(8,80`) polar coordinates Find the two possible polar angles for the line segment of the above which specify the inclination of the line.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
here we are .. we want to find just piece of line inclination of AB and it must be in polar also. |dw:1328171083599:dw| so we have to shift AB line and make point A to the origin so it be like that .. i refer it to A' and B' cause its different from original |dw:1328171316777:dw| This is the Idea .. Lets begin to implement it A(8,80') polar = (1.389,7.878) Cartesian B(11,70') polar = (3.762,-10) Cartesian B-A = (3.762-1.389,-10-7.878)=(2.373,17.878) \[r=\sqrt{2.373^{2}+17.878^{2}}=18.035\] \[\theta 1=270+\tan ^{-1} \frac{y}{x}=270+82.4=352.4 \] \[\theta 2= -90+82.4=-7.6\] (18.035,352.4') polar and (13.035,-7.6) polar Hope I'm right .. regards

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