Trysts with Trigonometry…
A few days back, when my younger brother asked me to help him out with Trigonometry, it brought back some old memories. Trigo (as I not so lovingly called it) had come pretty much as a cultural shock to me, as if graduating to Algebra from simple arithmetic hadn't been unsettling enough. I had just come on terms with understanding that negative numbers could have roots and they were not 'undefined' as I conveniently understood, when suddenly my young (and impressionable) mind was bombarded with Sin. Initially I could not digest the rationale behind giving nick-names to variables - Sin X,
The trick of the game lied in memorizing a set of theorems for use at the right moment. But memorizing formulae had always been a challenging task for me. The last I remember I did well at memorizing was when I was in 2nd standard and had won a random tables-recitation competition (Wow, It still sounds grand). I still have the snap with me accepting the second prize from the Principal while smiling earnestly at the camera, with the girl who won the first prize standing behind, scowling in a condescending manner at me. That was my last attempt at rote-learning and I resisted all my life from memorizing the multiplication tables. After all, what are calculators for?
So that's the approach I took towards Trigo and trust me, we never really got along well. I still wonder who came up with all those names where Sin is not pronounced as Sin but as 'Sine'(Sigh-in) and the ever confusing Sec x is actually pronounced as SEEK x. I still doubt that's the actual pronunciation. I believe my math’s teacher purposely tweaked it so that she would be spared from our giggles, whenever she went Sec x in a hurry. (Try repeating Sec x as fast as you can and you’ll get the drift.)
I suppose it was around the same time, when the emphasis shifted from solving problems (finding values of unknowns) to proving them. I have always believed that the world would be a much better place, if we learnt to trust each other. Couldn't we just be more trusting and leave it at that. If the book says that this equation (or rather, identity) holds true, why can't we just trust it to be true? Again, no answer.
One method of proof that did interest me to some extent was "Proof by Contradiction" (At least you knew how to start). But my approach was slightly different - Let us assume that the author is lying, the book is a fraud and the given identity is not true. But in such a case, what would be the motive behind the author's lie? What does he stand to gain by it? And if the book is a fraud, why is it the prescribed text-book and why do we continue using it every year? Well, I must admit that my proof was not rigorous enough, but I was told it wasn't relevant either. Anyways, I suppose I would have made a better forensic expert than a math’s professor (or maybe it was all those Sherlock Holmes stories that I had been reading).
I would feel pretty much the same about Differentiation and Integration later on. But thankfully I don't remember much about them, to write about. All I have to say now is “May those books and those formulae rest in peace”. But I had to tell something to my brother, when he came to me with his doubts. As they say, "When the going gets tough, the tough get going..." And that's exactly what I did – got going. I told him that I've got to go, and that maybe we could discuss this some other time.
(Hmmm…There are some things that they should teach you in school and they don’t – things like handling tough situations like the one above. They turn out to be much handier than those Trigo formulae.)

