Angle Between Chord AB and Tangent at Point B on a Curve

In summary, the problem is finding the angle between the chord AB and the tangent of the curve at point B, given the normal to the curve at point A and the equation of the normal.
  • #1
disfused_3289
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Homework Statement



The normal to the curve y= (x + 2)^2 at the point A(-3, 1) meets the curve at B.
Find the angle at B between the curve and chord AB.

2. The attempt at a solution

I found that B is (-0.5, 2.25) and the equation of the normal is 2y= x + 5.
I thought the angle at B between the curve and chord AB was simply the angle between the normal 2y= x + 5 and the gradient function, y'= 2x +4 but the answer is different from what I get.

Any help would be greatful
 
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  • #2
The angle your are looking is between the chord AB and the tangent of the curve at B.
 

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