@@2fifty533 The video obviously didn't talk about the whole of trigonometry but it nailed the basics pretty well. So, to imply how good it was, I said I felt like I understood the whole of trig.
I expected just to get informed about some general topics/concepts usually taught in the course and maybe a little bit of terminology but you actually explained a lot in a very intuitive way.
Pre-calculus at my highschool was a different class that included learning limits and expand on the trig that was taught in GST or geometry statistics and trigonometry
Arctangent is the inverse of the tangent function. Where the tangent function takes an angle measurement and gives a result of the slope, the Arctangent instead takes a slope and gives the result of the angle necessary to rotate to reach that slope from the resulting point. Keep in mind that, since every possible slope that can occur is present on both semi-circles of the unit circle, the arctangent function is actually not a function at all, since it can give multiple outputs with just one input. So the way it works on a calculator is, I believe, by giving a result that either lies in the first or second quadrant (but it might be the first and fourth quadrant depending on your calculator).
I did not make a mistake, and neither did you. cos(theta) is, in fact, equal to both sin(theta + pi/2) and sin(pi/2 - theta). The first can be shown through a graphical horizontal shift. The second can be shown by the fact that the three angles in a triangle add up to 180 degrees, one of the angles is a right angle, and the other two are associated with the values of sin(theta) and cos(theta).
@@2fifty533 i didn't say "this sucks" or that the video was overall bad, i just said the explanations were lacking. They could have certainly been more in depth for better understanding, but they're sufficient enough. I won't reply to you anymore because you seem daft
