Posted by Laurie on Thursday, September 22, 2011 at 9:34pm.
Find equations for the lines that are tangent and normal to the graph of y = sinx + 3 at x = pi

calculus  Steve, Friday, September 23, 2011 at 3:29pm
Now, the slope of the tangent line at any point (x,y) on the curve is just y'(x) = cosx
At x=pi, y' = 1 and y=3
So, we want the line through (pi,3) with slope 1.
y3 = (xpi) = pix
y = x + 3+pi
The slope of the normal line is (1/1) = 1
y3 = (xpi)
y = x + 3pi
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