i noticed something: by 3:06, instead of using identities, you can just factor out (1/h)(cos(x) - cos(x+h)), and notice that this is just definition of the derivative (almost... it's negative instead) of cos(x). So now you're left with -(-sin(x)) * lim_h->0 (1/cos(x)cos(x+h)) = sin(x) * sec^2(x) = sec(x)tan(x) Same can be done with the derivative of cosecant!
I wish to know if (1-cosx)/x =0 or (cosx -1)/x =0. I am asking because you use the first relation in this video and in the video of sinx, you used the second relation. I know that you just need to multiply the second equation by -1 to solve the problem but I wish to know exactly which is the right relation…. Thanks in advance….anyway, your videos are quite good