In my Trig class, we learned about the unit circle and its relationship to the various trig functions (sin, cos, etc.).
I am curious to know why the unit circle works the way it does, and the how it was "derived" so to speak.
More specifically, why does radius of the circle have to be 1 for...
A few days ago, I had a problem that looked like this:
I know that on the unit circle, cot(pi) ends up as -1/0. In my precalc class, we say that this is undefined because you can't divide by zero.
I decided to plug the problem into wolfram and it tells me that there is...
I recently had a test (precalc) where we had to solve log(x)-log(x+4)=2 for x.
The answer comes out negative.
I understand that in precalc we are defining the logarithms for just positive numbers, but-
Is it ever justified to define a logarithm for all numbers, both negative and...