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Write The Given Expression in Algebraic Form

  1. Aug 27, 2009 #1
    1. The problem statement, all variables and given/known data
    Write the Given Expression in algebraic Form
    sin(arctan x 5/x)

    2. Relevant equations

    3. The attempt at a solution
    Do you just simplify the arcy=tan to fit with sin? So does it just become a simple simplification problem? Oh and does algebraic form mean without the sin and arctan?
  2. jcsd
  3. Aug 27, 2009 #2
    The argument of the arctangent function is not clear. Is there an operator missing or is it really (x times 5/x)?

    Regardless, these sorts of questions can be handled with roughly the same approach. Consider [itex]y=\cos(\arcsin u)[/itex]. If we let t = arcsin u, then we have y = cos t and sint t = u. Since u = opp/hyp we can draw a right triangle with acute interior angle labeled t where opp/hyp = u/1 and put u on the opposing side from t and 1 adjacent to it.

    Calculating the hypotenuse we get [itex]\sqrt{(1+u^2)}[/itex] by using the Pythagorean Theorem. Using this triangle it is not hard to find y = cos t.

    Your exercise is handled similarly.

  4. Aug 29, 2009 #3
    the x means multiplication
  5. Aug 29, 2009 #4
    Your original question concerned the function sin(arctan x 5/x). Arctan is a function name and cannot be "multiplied" or do you mean arctan of 5/x?

  6. Aug 30, 2009 #5
    yes sorry that is what i meant. I realize you cannot multiply that
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