I didn't really want to post anything... but this is just too juice. Table value for sin,cos, tan, cotan are dead simple if you can imagine it. really to get 60° and 30°, i just imagined equilateral triangle which is known to have all sides same and all angles same. ..So i cut it half. Used pythagoras. and since really sin and cos are plain old ratios... Naturally it triangle can only sum to 180° inner angles, so it becomes iffy to imagine later... Yeah... math is really about imagining and making stuff up. And yes... Im irrational. Darn these rational flat-earthers. They threw a guy overboard for discovering irrational numbers and they just keep insisting on being rational... like √3/3... why? 1/√3 is perfectly fine these days...i mean with Taylor series, CORDIC or various other approximation methods √3/3 distracts from fact that 1/√3 is flipped version √3/1 which paints clear picture that tan and cotan are really just flipped ratios. It is conspiracy, I tell you. Hmm... lot of limits are caused by division by 0, it would seem. Except for exponentials... how suspicious. Anyway, that is it. Keep being irrational.