Complex Numbers Simplifying Trigonometry

Google, "how complex numbers can simplify trig problems".

I got 659,000 results.

Yes, I used the standard search queries in google, but am only getting results for the rudiments of the relationship between complex nos. and trigonometry rather than what I'm searching for; I've even found all of the many links I've already opened, too, in your search query.

Thanks! --and I will continue searching.

/Silicon Valley Regards

Did you mean to say: How complex numbers make it harder to work trigonometry?

Trigonometry is quite simple. But then the sinus of 23 is quite a complex number.

Whats in it?

I've heard it said that complex numbers are useful in so many ways such as reducing long cumbersome trigonometry problems to simple algebra that I wanted to see this for myself.

/Silicon Valley Regards

Sounds to complex to deal with

Not sure about "long cumbersome trigonometry". It all seems pretty straight forward to me and easy to deal with.

Are you talking of achieving the calculations by not using tables or electronic calculators?

As said before trigonometry is using complex numbers. So what did you hear exactly and where is the gain?

Ideasmith, you've swerved into something. My pet peeves are scientific calculators on the current market that are anemic in dealing with complex numbers (with some exceptions).

On the other hand, I have a grapher, a T.I. 86 that was just given to me by a biochem major who no longer wanted it, but you can't even input i into this TI-86 in complex mode; to input i you have to input (0, 1), in complex mode; silly. (How am I supposed to input e^i theta for crying out loud).

Nevertheless, I have been looking at the TI-36X Pro scientific calculator and am thinking of buying it.

/Silicon Valley Regards

Thank you! . . . Although I don't trust the liberal blog wikipedia for anything of substance, the examples in the article did point me to the footnotes, --which are rich in resources.

/Silicon Valley Regards

"the liberal blog wikipedia" ?

That's the first time I've heard it called a liberal blog.

You must belong to the tea party.

You have to know the history of wikipedia to understand why it's a liberal blog; I certainly wouldn't trust it for hard science. Teaparty? --I don't run with the pack.

/Silicon Valley Regards

Bias is like beauty. It's in the eye of the beholder.

I don't think any members here rely on Wiki for "hard science".

As you found, it can be useful in finding sources that you can trust.