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Math Help - True/False: sin 3x/3x = sin 1

  1. #1
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    True/False: sin 3x/3x = sin 1

    Fairly sure the answer is false as you can't just cancel out the 3x's, but it asks to correct it too [that's where I'm stumped]. Can sin (3x) / 3x be factored down anymore than that? I really have no idea what the teacher is asking.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Mathless View Post
    Fairly sure the answer is false as you can't just cancel out the 3x's, but it asks to correct it too [that's where I'm stumped]. Can sin (3x) / 3x be factored down anymore than that? I really have no idea what the teacher is asking.
    It is false, if you have done limits you can write:

    \lim_{x \to 0} \frac{\sin(3x)}{3x}=1

    or for small x:

    \frac{\sin(3x)}{3x}\approx 1

    CB
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