My First Article - Generalizing The Circular Functions

Inspired from my friends viz. @Cody Johnson, @Daniel Liu & @Steven Zheng , I've also started writing articles.

Here's my first article on -

Generalizing The Circular Functions

Since, it's my first paper, you may find some mistakes, but I've tried my best to keep the errors out.

As of now, I am full of idea, topics, and enthusiasm, so I'll keep posting articles frequently.

I would also like to know, if you're interested in some particular topic. I'll try my best to produce an article on the same (after a decent amount of investigation on that topic)

Any type of feedbacks/suggestions are highly appreciated.

Note by Kishlaya Jaiswal
6 years, 3 months ago

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Let me note that in mathematics, the word "generalizing", or "generalized", means an extension of the original concept, not "a deeper analysis" of it. Your paper deals with the inverse trigonometric functions, a very nice one, by the way, for explaining how the complex expression of it is derived---but it is not a generalization or an extension of the notion of trigonometric functions. There are actually a number of papers already written on a number of different ways trigonometric functions can be generalized, there's often more than one way that a mathematical concept can be "generalized", but I think most of the generalizations of trigonometric functions are not geometrically intuitive, i.e., they're hard to explain using elementary geometry. But we do have spherical trigonometry, one important generalization of trigonometric functions, which can readily be visualized.

- 6 years, 3 months ago

Sorry! I didn't knew that. But I'll keep this in mind, the next time I write a article.

So, can you please suggest some better title, so that I may add it to add to Brilliant Wiki by that new title. Or should I keep this one itself.?

And do you have any other suggestion(s) for this paper?

Thanks.

- 6 years, 3 months ago

There is no complex angle but only real angle. However, trigonometric functions can do with complex numbers very well.

- 6 years, 3 months ago

By circular functions, do you mean trigonometric functions?

Staff - 6 years, 3 months ago

Yep, that's what it looks like in the paper.

- 6 years, 3 months ago

Yes, by Circular Functions, I mean Trigonometric Functions. Actually, I was trying to find some good (eye-catching) title for that but finally, I ended up with this one.

And do you have any other suggestion(s) for this paper?

Thanks.

- 6 years, 3 months ago

I'd just call it "Trigonometric Functions Extended" if you want something that isn't too long.

- 6 years, 3 months ago

Best of luck for what you are doing. :)

Will you post your articles in Brilliant?

Will you also write wikis?

Can I also suggest topics?

- 6 years, 3 months ago

Thanks!

Meanwhile, I'll try to add them to Brilliant Wiki.

Yes, you can also suggest topics. I would really be thankful for that.

And do you have any other suggestions for this paper that you would like to see in my next papers?

- 6 years, 3 months ago

Maybe "Evaluating Inverse Trigonometric Functions"? It depends if you plan on expanding that paper, but as it stands now, that title might work, since it does describe your paper.

- 6 years, 3 months ago

ok, so I am done with my second article. Here's the link to it - Investigating Binomial Theorem

And the link to my post on Brilliant

- 6 years, 3 months ago