copy and paste this google map to your website or blog!
Press copy button and paste into your blog or website.
(Please switch to 'HTML' mode when posting into your blog. Examples: WordPress Example, Blogger Example)
calculus - Trigonometric functions and the unit circle - Mathematics . . . Since the circumference of the unit circle happens to be $(2\pi)$, and since (in Analytical Geometry or Trigonometry) this translates to $(360^\circ)$, students new to Calculus are taught about radians, which is a very confusing and ambiguous term
trigonometry - Tips for understanding the unit circle - Mathematics . . . By "unit circle", I mean a certain conceptual framework for many important trig facts and properties, NOT a big circle drawn on a sheet of paper that has angles labeled with degree measures 30, 45, 60, 90, 120, 150, etc (and or with the corresponding radian measures), along with the exact values for the sine and cosine of these angles
Understanding the Unit Circle - Mathematics Stack Exchange At this point, I know in order to get a hypotenuse of $1$ (for the unit circle), you could deduct that $\cos(30) = \frac{\sqrt3}{2}$ by using the Pythagorean Theorem Here, now note that $\sin$ and $\cos$ alternate or "flip" for lack of a complicated word (complement!)
Show that unit circle is not homeomorphic to the real line Another argument is that removing a single point from a circle leaves a connected space, while that is not true of $\mathbb{R}$ $\endgroup$ – user296602 Commented May 12, 2018 at 16:41
Eigenvalues on Unit Circle - Stability Characteristics? $\begingroup$ If you're working with linear system, eigenvalues on unit circle still make system Lyapunov stable, but system is no longer asymptotically Lyapunov stable Loosely speaking, in linear case presence of eigenvalues on unit circle cause that trajectory stays on some closed and bounded hypersurface (like circle in 2D-case or cylinder