Well, technically a tangent like can cross at multiple points. For example in the graph to the left the tangent line passes through the graph twice. A tangent line is not a line that crosses a function once. A better way of explaining it would be to imagine the tangent line crossing the curve at point P would be to define point Q as any other point on the curve. The secant line joining point P and point Q would become the tangent line when Q is brought to and is point P.
So a tangent line could possible cross a line an infinite number of times (An easy example would be either tangent line with slope = 0 on either the sin or the cos functions.)
Please teach me. I'm in college, and the math is insane. I will gladly pay you to tutor me D:
Just go easy on the price, I am unemployed, but if I
am spending a portion of my life savings on this, it should
be worth it in the long run
Sorry, I was referring to the picture when I said that. I don't know about your district, but I didn't learn about integrals until my first year of AP Calc
Well f**k me for not being a primitive simpleton so it'd help me in the prospect of attracting empty headed bimbos. I feel bad for anyone who feels that knowledge is a bad thing.
I never said that knowledge and allure were exclusive, but I just went through a monstrous final in the hardest math course that's offered in the state, I was simply providing sympathy for anyone that may have suffered something similar. In my opinion, one can never have enough knowledge; I just dislike this subject in which I am forced to apply said information.
Euler's formula is defined as
e^iθ = cos(θ) +isin(θ)
e is euler's constant, defined to be approximately 2.718
i is the imaginary number, defined to be the square root of -1. Since nothing in the real number system can be multipled by itself to reach a negative number, there's no real solution for it.
θ is an angle in radians. A full 360 degrees is 2π, making π/2 90 degrees.
Cos and sin: No real way to explain this simply. It's just a function that takes in a value and outputs a number between -1 and 1.