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Math Help - How to Turn this Trig f(x) into a Non-Trig f(x)

  1. #1
    Junior Member
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    How to Turn this Trig f(x) into a Non-Trig f(x)

    Ok how can I turn this trig function into a function that doesn't use any trig functions?

    f(x)=sin(\arctan(x))
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  2. #2
    Senior Member
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    Draw a right triangle with sides 1, x and \sqrt(1+x^2).

    Can you find the angle whose tangent is x (hint - opposite over adjacent = x/1)?

    That's arctan(x). Now look at the triangle. What is the sine of that angle? (hint = opposite / hypotenuse). That's what you're looking for.
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