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what is the difference between writing 12 sin (pi/3 x+3)+12 and 12 sin(pi3 x +3) + 12 ?
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meant pi/3
you mean pi3 is pi/3?
if that is what you meant then I don't how what you wrote is any different and I'm not talking about just in meaning For example: If someone asked me if the following two sentences were the same: A dog ate a cat. A dog ate a cat. I would say these were the same sentence.
Because it is the same thing word by word.
\[12 \sin(\frac{\pi}{3}x+3)+12=12 \sin(\frac{\pi}{3}x+3)+12 \text{ for all } x\]
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