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Math Help - 2 differentiation problems involving trigonometric funcitons

  1. #1
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    2 differentiation problems involving trigonometric funcitons

    Problem #1:

    A ladder 10 ft long rests against a vertical wall. Let theta (I don't have anything on my computer that gives the symbol) be the angle between the top of the ladder to the wall and let X be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does X change with respect to theta when theta= pie/3

    sorry I do have some of the symbols in my computer but they don't show properly on here.


    Problem #2:

    Find the limit as x approaches 0 : sin(4X) / sin(6X)

    sorry again the symbols just don't show up properly.



    Any and all help would be appreciated
    Last edited by forkball42; October 4th 2007 at 07:38 PM.
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  2. #2
    Math Engineering Student
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    Quote Originally Posted by forkball42 View Post
    Problem #2:

    Find the limit as x approaches 0 : sin(4X) / sin(6X)
    With a little of make-up

    \lim_{x\to0}\frac{\sin4x}{\sin6x}=\frac46\lim_{x\t  o0}\frac{\sin4x}{4x}\cdot\frac{6x}{\sin6x}

    Now you know you have to do.
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  3. #3
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    Thank you.

    Now I need some help on problem 1. I created a model representing the equation but I'm having trouble solving it.
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by forkball42 View Post
    Problem #1:

    A ladder 10 ft long rests against a vertical wall. Let theta (I don't have anything on my computer that gives the symbol) be the angle between the top of the ladder to the wall and let X be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does X change with respect to theta when theta= pie/3

    sorry I do have some of the symbols in my computer but they don't show properly on here.
    I suspect you are over-thinking the problem.

    x = (10~ft)sin(\theta)

    What's \frac{dx}{d \theta}?

    (And for the record, \pi is spelled "pi," not "pie." You don't eat it, do you?)

    -Dan
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