Euler's formula, need help.

ranel

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Aug 5, 2019
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Hi, can you help me solve this:

Using Euler's formula, find a formula for tg(6x) as a function of tgx.

thanks :)
 
Given that you've shown no work of your own, I'm forced to assume that you have none to show (because you definitely read our request that students share their work with us, as laid out in the Read Before Posting thread, right? ;))

That's okay. We can make do with that, we'll just have to start at the very beginning. With most any math problem, the first step is to make sure you know the definitions of any terms used in the problem. I can guess that \(tg(x)\) is the tangent function, which I'm used to seeing written as \(\tan(x)\). Am I correct in that guess? Next, you need to know what "Euler's Formula" is. This, to me, seems like the crux of the problem, because Euler was a very prominent mathematician and I can think of about half a dozen different ideas that various sources call "Euler's Formula." Which one does your textbook refer to?
 
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