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trigonometry - Tips for understanding the unit circle - Mathematics ...
...What is it you are trying to "memorize" about the unit circle? It's the circle of radius 1 1 $1$ with center at the origin. What else?...
https://math.stackexchange.com/questions/31163/tips-for-understanding-the-unit-circle
Roots of polynomial and unit circle - Mathematics Stack Exchange
...$0$, we conclude that all roots are inside the unit circle. As another example, consider a polynomial that has two roots on the unit circle, one root inside the unit circle, and one root outside of the unit circle....
https://math.stackexchange.com/questions/2418150/roots-of-polynomial-and-unit-circle
complex numbers - Precalculus unit circle with imaginary axis ...
...Precalculus unit circle with imaginary axis. Ask Question Asked 11 years, 3 months ago Modified 9 years, 2 months ago...
https://math.stackexchange.com/questions/1250880/precalculus-unit-circle-with-imaginary-axis
Finding the largest triangle inscribed in the unit circle
...Among all triangles inscribed in the unit circle, how can the one with the largest area be found?...
https://math.stackexchange.com/questions/1298379/finding-the-largest-triangle-inscribed-in-the-unit-circle
geometry - Find the coordinates of a point on a circle - Mathematics ...
...The standard circle is drawn with the 0 degree starting point at the intersection of the circle and the x-axis with a positive angle going in the counter-clockwise direction. Thus, the standard textbook parameterization is: x=cos t y=sin t In your drawing you have a different scenario....
https://math.stackexchange.com/questions/260096/find-the-coordinates-of-a-point-on-a-circle
Understanding the Unit Circle - Mathematics Stack Exchange
...See the StackExchange thread Tips for understanding the unit circle, and note the distinction I make in my answer between what students often see as the unit circle and what teachers see as the unit circle....
https://math.stackexchange.com/questions/144370/understanding-the-unit-circle
Show that unit circle is compact? - Mathematics Stack Exchange
...Quick question. Say we are given the unit circle {(x, y) ? R2: x2 +y2 = 1} {(x, y) ? R 2: x 2 + y 2 = 1} $\{(x,y)\in {\mathbb{R}}^{2}:{x}^{2}+{y}^{2}=1\}$. Is this set compact? How can I prove that this is closed? Bounded? Do I have to take the complement of the set, showing that that set is open (and so unit circle is closed)? Any other trick? In addition, how can I show that {(x, y) ?R2:x2 +y2 <1} {(x, y) ? R 2: x 2 + y 2 <1} $\{(x,y)\in {\mathbb{R}}^{2}:{x}^{2}+{y}^{2}<1\}$ is not ......
https://math.stackexchange.com/questions/337272/show-that-unit-circle-is-compact
In a unit circle what is the average distance to the center of circle?
...In a circle with radius 1 what is the average distance between a randomly placed point and the center of the circle? So far I have tried a few things but gotten different results. Approach 1: My idea here is to take the weighted average of all distances where the circumference of the corresponding circle is the weight....
https://math.stackexchange.com/questions/4567824/in-a-unit-circle-what-is-the-average-distance-to-the-center-of-circle
Characterizing non-constant entire functions with modulus
...Characterizing non-constant entire functions with modulus 1 1 $1$ on the unit circle Ask Question Asked 15 years, 11 months ago Modified 4 years, 5 months ago...
https://math.stackexchange.com/questions/3408/characterizing-non-constant-entire-functions-with-modulus-1-on-the-unit-circle
Why do we use the unit circle to solve for sin and cos
...I know that in a unit circle where the radius is always one, sin is equal to y and cos is equal to x. But why do we use these values even when the radius or the hypothenuse of the triangle isn't eq......
https://math.stackexchange.com/questions/4102736/why-do-we-use-the-unit-circle-to-solve-for-sin-and-cos
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