Let's look at an right isosceles triangle (where the base angles measure 45 degrees, and legs are congruent). So that,
tan 45 degrees = leg/leg = 1
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tan 45° = 1
45 degrees
0 is your answer tan(45)=1 and arccos(1)=0
If y = 2x+1 is a tangent line to the circle 5y^2 +5x^2 = 1 then the point of contact is at (-2/5, 1/5) because it has equal roots