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

1. ## 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.

2. Originally Posted by Mathless
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