Recent content by Drafter

Calculus: An Intuitive and Physical Approach by Morris Kline does an excellent job at introducing calculus with applications using simple mechanics. Then he formalizes things afterwards. He also is so staunchly opposed to the dry mathy world that education has become that he dedicated an...

In my endeavor of self learning calculus, I realized that there was something a little off about the subject. I would watch Khan Academy, MIT Opencourseware, and even cracked open my college textbook of calculus before I could even enroll in my Calc 1 class.I noticed that all of them introduced...

I do appreciate the way you the identities algebraically here... Everything else seemed to be a little over my head sadly, since I have just started walking into the doorsteps of the calculus. I could see that the derivative and second derivative of those trig functions were very nice, sadly I...

In the wiki section the sum identities did go through a nice proof, but I'm not too keen on deriving the sum in of itself, however I am interested on finding a sum to product proof though. . I just found it silly how my professor told me to memorize "this" and memorize "that". "You're better off...

I would like to know how can I derive the double, half, product to sum, and sum to product identities of trigonometry using simple algebraic means. And which books (which I prefer) should I pickup at the library on this subject to actually learn these derivations? Or at the very least some...

You can the general solution formula of...2kπ. Where k is any integer. Here is a the general formula of cosθ=1/2 I use the term "general formula" loosely since I do not know it's exact terminology, but anyways, here is cos(θ)=1/2. Assuming you have a solid understanding of the unit circle, you...