What is Cos: Definition and 318 Discussions

Cos Cob is a neighborhood and census-designated place in the town of Greenwich, Connecticut. It is located on the Connecticut shoreline in southern Fairfield County. It had a population of 6,770 at the 2010 census.Cos Cob is located on the western side of the mouth of the Mianus River. The American Impressionist Cos Cob Art Colony flourished in the late 19th and early 20th centuries. An offshoot of the group, the Greenwich Art Society, continues to support local artists in town.
The town of Greenwich is one political and taxing body, but consists of several distinct sections or neighborhoods, such as Banksville, Byram, Cos Cob, Glenville, Mianus, Old Greenwich, Riverside and Greenwich (sometimes referred to as central, or downtown, Greenwich). Of these neighborhoods, three (Cos Cob, Old Greenwich, and Riverside) have separate postal names and ZIP codes. From 1883 to 1885, the official post office name of Cos Cob was Bayport.
In 2015, Forbes ranked Cos Cob the 287th wealthiest place in the US with a median house sale price of $1,329,107.

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  1. L

    Proving Sin and Cos Values of pi/6: Analytical Solutions

    I'm currently reading Apostol's Calculus. I'm now on the part where I need to prove sin and cos values for specific values. Right now I'm working on sin and cos of pi/6. However, I always get at 1/2 and √3/2 for the final value. Here's my solution so far: Homework Statement Use the properties...
  2. B

    Does the Integral of Sin(x) Diverge as x Approaches Infinity?

    Homework Statement Recall that a function G(x) has the limit L as x tends to 1, written lim as x -> infinity G(x) = L, if for any epsilon > 0, there exists M > 0 so that if x > M , then |G(x) L| < epsilon. This means that the limit of G(x) as x tends to 1 does not exist if for any L and...
  3. J

    Cos theta=pi/2 hint pi/2 is not an angle.

    cos theta=pi/2...hint pi/2 is not an angle. Homework Statement \cos\theta=\frac{\pi}{2} HINT:The real number \frac{\pi}{2} is not an angle. Homework Equations The Attempt at a Solution I tried 0=\cos^{-1} \frac{\pi}{2}, but that equals no solution. And if \frac{\pi}{2} were an...
  4. S

    Infinite Series problem with cos involved.

    Homework Statement I have to determine whether the series converges or diverges. \sum (cos^2 (n)) / n^2 +1 Homework Equations Suppose An and Bn are series with positive terms. If the limit of An over Bn as n approaches infinity equals C, and C is a finite number greater than 0...
  5. F

    Exploring the Convergence of Infinite Sums of Cosines

    Homework Statement I have no idea how to start. Any hints? Thanks in advance.
  6. J

    Line integral of sin cos function

    Homework Statement integral (sin^4(x) + cos^4(x))^.5 dx Homework Equations sin^2(x) = (1 - cos^2(x)) The Attempt at a Solution cos^4(x) + {1 - cos^2(x)}^2 = 2cos^4(x) -2cos^2(x) + 1 subst u = cos^2(x) integral (2u^2 - 2u +1)^.5
  7. nukeman

    Pythagorean Identities - finding sin and cos ?

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  8. D

    Quickly converging series for cos

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  9. N

    Need help with determing domains of sin, cos, and tan

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  10. G

    Proving a^2+b^2=1 has Only One sin* & cos*

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  11. C

    How Does Quadrant Affect Values in Trigonometric Functions?

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  12. M

    Exploring Limits of Trigonometric Functions at x=0

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  13. D

    Find the parametric equation of y = cos x with max at (3, 5)

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  14. J

    Orthogonality of Cosine and Sine Functions: A Proof by Explicit Integration

    Homework Statement This would be easier if I knew how to use LaTeX, but I'll give it a shot. Show by explicit integration that the following is true: Integral from 0 to a of sin(m*pi*x/a)*cos(n*pi*x/a)=0Homework Equations The Attempt at a Solution I've used an identity to change...
  15. C

    Calculating Sec and Cos of 50 Degrees: Homework Solution

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  16. C

    Exploring Sin & Cos: Is 1/sec equal to cosin?

    Homework Statement Sin^{2} 20\circ + 1/sec^{2} 20\circ = 1 ? Because isn't 1/sec the same as cosin? Homework Equations The Attempt at a Solution
  17. T

    Deriving equations involving sin and cos

    Homework Statement I'm asked to derive equation(2) from equation(1). equation(1): d=(tsin(2i))/((n^2-sin(i)^2)^1/2) equation(2): n=sin(i)(((2tcos(i/d))^2+1)^1/2) Homework Equations The Attempt at a Solution My attempts have got me nowhere, and I don't know how to even...
  18. T

    Deriving equations involving sin and cos

    Homework Statement This problem deals with the displacement of a light ray as it travels through a glass medium. Starting with the equation #1: d=S[sin(i)cos(r)-cos(i)sin(r)] (where d=the length of displacement of the light ray in the glass medium, i=angle of incidence...
  19. J

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    Homework Statement This is a more general question... but here is a specific example in which I don't know why sin is used where it is and why cos is used where it is. I don't need the problem worked out or anything (I have it worked out by my professor), I just need to understand why sin and...
  20. S

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    I have a rather difficult math problem. In my circuits class the professor prefers to express the cosine function using Euler's formula as (ejwt+ejwt)/2. Last semester for the final, one of the problem's solutions (that he gave us) used partial fraction decomposition to solve the Laplace...
  21. M

    Understanding the Simplification of ((1 - cos A)/ (1+cos A) ) ^(1/2)

    Homework Statement Prove:( (1 - cos A)/ (1+cos A) ) ^(1/2) = cosec A - cot A Then they have... ((1 - cos A)/ (1+cos A) ) ^(1/2) = ( (1 - cos A)^2 )/ (1-cos^2 A) ) ^(1/2) = (1 - cos A) / (1-cos^2 A) ^(1/2)/ I have never done anything like this... I have just been studying trig...
  22. A

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  23. G

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  24. S

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  25. L

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  26. J

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  27. Q

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  28. F

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  29. J

    Graphing sin and cos functions

    Homework Statement plot x(t) = 10cos((pi*t)-(pi/4)) Homework Equations pi/4 is the shift to the right 10 is the amplitude of the graph pi is the radian frequency The Attempt at a Solution so i got the amplitude and shift to the right by pi/4 part but as for the radian...
  30. S

    Finding the Equation of Tangent line on cos wave

    Finding the Equation of Tangent line on cos wave! Find the equation of the normal line to y = 2cos ( 4x) at x = \pi / 3 I don't even know where to start with this question, i have searched the textbook and internet, help would be appreciated.
  31. P

    W = F d cos θ Is Algebra Okay for Work?

    Greetings all :blushing: Homework Statement Greetings all this is the basic type of problem that I am having. W = F d cos θ. This is not for homework this is for my preparation for an exam. Homework Equations it has to do with the Work:: W = F d cos θ The Attempt at a...
  32. L

    Why does cos θ, which normally equals x, become 0 when you evaluate this function

    Why does cos θ, which normally equals x, become 0 when you evaluate this function for π/r radians? (π/r means pi over r radians) Why does cos θ, which normally equals x, become 0 when you evaluate this function for π/r radians? It says that the point on the circle for this question is (0,1)...
  33. D

    Solving Magnitude of Current Flowing in Neutral Conductor

    hi all, its been a while since I've used a scientific calculator, anyway i am having trouble with cos. I've been askes to find the magnitude of the current flowing in the neutral conducter. V = 400 Lv=231 R1= 23 R2=11.5 R3=9.2 I1=10.04 I2=20 I3=25.1 my real trouble is using a...
  34. F

    Sin and Cos frequency Question

    Hi, if cosine and sine waves are exactly the same wave except cosine starts earlier in time, why do they have different Fourier Transforms? I know the cos would have an impulse at f=Fc with amplitude of 1, and sin would have an impulse at f=Fc and amplitude of 1/j. I don't understand why the...
  35. M

    Maclaurin Series cos x (MATLAB) can somebody find my error

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  36. E

    What's wrong with argument against cos?

    I am trying to compute the amount of energy received by the Earth from the sun, by integrating over the Earth's surface. I keep reading that the formula should be: E = e-max * cos @ * area e-max is the solar insolation, @ is the angle between the sun and the perpendicular to the land...
  37. K

    Fourier transform of cos x the answer involves δ functions

    Homework Statement This is an example provided by my lecturer in his notes. He puts practically zero working in. When i work the problem through i do not get the same answer as he does. In this section i have copied the exact text from the problem: Find the Fourier transform of...
  38. H

    Solving equations in sin and cos theta

    Hi, I have been trying to solve some mechanics problems and I can come up with the right equation, but I don't know how to solve it... For example: 490.5cos(theta) - 3600cos(theta)sin(theta) + 1800sin(theta) = 0 i need to solve for theta here its one equation and one unknown...
  39. 0

    How can I solve this U-Substitution problem involving cos and square roots?

    Hi, For this integration by substitution problem, I am not sure whether I should: 1. simplify the problem first, then select U, find the derivative of U, then integrate or 2. use the product rule first (on the upper part of the equation), then select U, then find the derivative of U...
  40. T

    Why is there a d\theta/dt at the end of the derivative?

    Homework Statement r = r(t) \theta = \theta(t) x = r cos(\theta) dx/dt =dr/dt cos(\theta) - r sin(\theta) d\theta/dtThe Attempt at a Solution Where does the d\theta/dt come from at the end of the derivative? I know I'm using product rule here because r and theta are both functions of t...
  41. S

    Improving Cosine Approximation Using Taylor Series in Matlab

    Homework Statement Write a user-defined function that determines cos(x) using Taylor Series expansion Stop adding terms when estimated error, E<=.000001 Homework Equations sum Sn = Sn-1 + an E = | (Sn - Sn-1)/Sn-1 | The Attempt at a Solution function y = cosTaylor(x) Sn=1...
  42. T

    Definitite integrals involving sin and cos.

    Hi! I have learned how to solve equations like: \int^{2\pi}_{0}\frac{1}{1+sin\theta}d\theta using \int^{2\pi}_{0}F(sin\theta,cos\theta) d\theta \int_{C}F(\frac{z-z^{-1}}{2i},\frac{z+z^{-1}}{2}) \frac{dz}{iz} How do I solve equations of the type...
  43. R

    Evaluating Electric Dipole Potential: qd cos \theta?

    Hello The electric dipole potential is V (\textbf{r}) = \frac{1}{4\pi\epsilon_o} \frac{\textbf{p}\bullet \hat{r} }{r^2} I am trying to figure out the algebra in my book. How do you evaluate the scalar product of the dipole moment and the unit vector in the above equation? I get qd...
  44. R

    Find values of sin, cos, tan, sec, csc, and cot without a calculator

    Homework Statement I'm wondering how you would find values of sin, cos, tan, sec, csc, and cot without a calculator. I don't have a specific problem but how would you solve things like tan 45 degrees, sec 30 degrees, and cos -30 degrees? 2. Relevant info I have the values of sin and...
  45. U

    Solve Cos B Homework - Trig & Geometry

    Homework Statement Find Cos B Hint: use trigonometry + Geometry http://img210.imageshack.us/img210/4596/pow.png Homework Equations trigonometry + Geometry The Attempt at a Solution I don't see how i could use trig to find any of the angles, and since none of the lins go through the...
  46. jegues

    Solve the equation (sin and cos problems)

    Homework Statement Solve the equations: 100sin(\alpha) -400cos(30^{o}-\alpha) = 210 Homework Equations cos(A-B)=cos A cos B + sin A sin B The Attempt at a Solution I threw the identity into the original equation, simplified a bit now I'm stuck at the following: 200sin(\alpha)...
  47. ╔(σ_σ)╝

    Obtain the forumal of cos( theta 1 + theta2) .

    Obtain the forumal of cos( theta 1 + theta2)... This should be a very basic question. I'm reviewing some linear algebra for my Field theory course but there is a question that I'm suck on. It says (a) Prove that P = cos\theta i sin\theta j and Q = cos\phi i sin\phi j are unit vectors in the...
  48. J

    How Do I Choose Between Sin, Cos, and Tan in Trigonometry Problems?

    No problem specifically, just more of a method question. I am extremely confused on when to use sin cos and tan. Say for instance it gives me an angle, say theta, and one side. How would I be able to tell what to use sin cos or tan. I know the trick SohCahToa but I really am confused. I am in a...
  49. J

    When and how do I use sin and cos regarding 2-D collisions?

    I think what I'm doing is overkill because all I want to know is when to use sin and cos in the components regarding (isolated) two-dimensional collisions. I'm just showing more content because it might help for context. Also, there are more steps in order to find the final velocity which is...
  50. C

    Converting a sin regression to cos regression

    Homework Statement convert a*sin(bx+c)+d to (mx+d)+a*cosb(x-c) Homework Equations The Attempt at a Solution
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