First slide
Equation of line in Straight lines
Question

The normal form of the line x+y+1=0  is xcosα+ysinα=p then  α=

Easy
Solution

Reduce the equation x+y+1=0  in normal form.
Separate the constant term and then divide both sides with  a2+b2=12+12=2
  x2+y2=12x2y2=12
This can be rewrite as xcos5π4+ysin5π4=12
  
Compare this equation with  xcosα+ysinα=p
Hence,  α=5π4=3.93

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