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Finding the tangent line

  1. Mar 12, 2009 #1
    Find the equation for the line that is tangent to the given formula if y = pi/2 when x = 0


    2. Relevant equations

    (x+1)dy - [(1/2)secycscy]dx = 0

    3. The attempt at a solution

    I tried to do this, and I got that

    dy/dx = 1 / (0*0), which is infinity.

    So....

    y = [tex]\infty[/tex]?
     
  2. jcsd
  3. Mar 12, 2009 #2

    Tom Mattson

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    OK, so the slope is undefined. What kind of line has a slope that's undefined?
     
  4. Mar 12, 2009 #3
    So it's a vertical line and no longer a function. That's the answer?
     
  5. Mar 13, 2009 #4

    HallsofIvy

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    Your original problem was to find the tangent line. Nothing was said about being a function. What is the equation of the vertical line through (0, pi/2)?
     
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