http://www.bing.com:80/search?q=Intertemporal+Consumption+ExamplesSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Intertemporal+Consumption+ExamplesCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/31163/tips-for-understanding-the-unit-circleBy "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.Fri, 03 Apr 2026 14:20:00 GMThttps://math.stackexchange.com/questions/2947335/understanding-sine-cosine-and-tangent-in-the-unit-circleIn the following diagram I understand how to use angle $\\theta$ to find cosine and sine. However, I'm having a hard time visualizing how to arrive at tangent. Furthermore, is it true that in all ri...Sat, 04 Apr 2026 08:06:00 GMThttps://math.stackexchange.com/questions/2831131/on-cotangents-tangents-secants-and-cosecants-on-unit-circlesAbove is a diagram of a unit circle. While I understand why the cosine and sine are in the positions they are in the unit circle, I am struggling to understand why the cotangent, tangent, cosecant,...Fri, 03 Apr 2026 13:01:00 GMThttps://math.stackexchange.com/questions/4519742/trigonometric-functions-and-the-unit-circleSince 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.Tue, 07 Apr 2026 07:06:00 GMThttps://math.stackexchange.com/questions/291686/how-does-ei-x-produce-rotation-around-the-imaginary-unit-circleRelated: In this old answer, I describe Y. S. Chaikovsky's approach to the spiral using iterated involutes of the unit-radius arc. The involutes (and spiral segments) are limiting forms of polygonal curves made from a family of similar isosceles triangles; the proof of the power series formula amounts to an exercise in combinatorics (plus an ...Mon, 06 Apr 2026 12:22:00 GMThttps://math.stackexchange.com/questions/855469/why-do-we-denote-s1-for-the-the-unit-circle-and-s2-for-unit-sphereMaybe a quite easy question. Why is $S^1$ the unit circle and $S^2$ is the unit sphere? Also why is $S^1\\times S^1$ a torus? It does not seem that they have anything ...Sun, 05 Apr 2026 18:28:00 GMThttps://math.stackexchange.com/questions/4102736/why-do-we-use-the-unit-circle-to-solve-for-sin-and-cosThe cosine and sine functions are defined on the unit circle. The reason for this is that when working with similar triangles you often want to figure out their relative scaling and the easiest number to multiply by is $1$.Tue, 31 Mar 2026 02:13:00 GMThttps://math.stackexchange.com/questions/2370027/using-unit-circle-to-explain-cos0-1-and-sin90-1We have been taught $\cos (0) = 1$ and $\sin (90) = 1$. But, how do I visualize these angles on the unit circle?Tue, 31 Mar 2026 21:47:00 GMThttps://math.stackexchange.com/questions/2114679/why-we-take-unit-circle-in-trigonometryThe angle in the unit circle (measured in radians) gives the corresponding part of the circumference of the circle. Further, we can define cosine and sine using the circle as the orthogonal projections on the x-axis and y-axis.Fri, 13 Mar 2026 08:18:00 GMThttps://math.stackexchange.com/questions/3293001/representation-of-tangent-function-on-unit-circleRepresentation of Tangent function on unit circle Ask Question Asked 6 years, 8 months ago Modified 4 years, 9 months agoWed, 01 Apr 2026 19:09:00 GMT