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. C

    Integral with cosine and exponential - cos (2t) x e^2t

    Homework Statement can som1 please give me an idea where to start with this integral. integral of: cos (2t) x e^2t thanx Homework Equations The Attempt at a Solution
  2. T

    Solving for p and q: A Graph of 5 = cos 0 and 1 = cos 180

    Homework Statement I have a graph of 5 = cos 0 and 1 = cos 180. The question is find the values for integers p and q y = p + q cos x p and q are integers How do I go about doing this Thx
  3. L

    Proving Sigma^infty_{n=1} r^n*cosn(t)

    How to prove Sigma^infty_{n=1} r^n*cosn(t) = (r cos (t) - r^2)/(1-2r*cos(t) + r^2) ?? Homework Statement This question has two parts and I need help with the first part (I think) because then I should be able to make a start on the second part. The exact question is (where t = theta)...
  4. F

    Calculating 4 Integral: A Tan & Cos Theta Substitution

    Homework Statement how would one calculate 4 \int_0^{\frac{\pi}{2}} \frac{\cos^2 \theta}{(1 + \cos^2 \theta)^2} d \theta ? The Attempt at a Solution someone suggested a u = \tan \theta substitution, but i don't understand why and how this would help me. couldn't i just use u = \cos t?
  5. S

    Solving the Integral of cos x ln x: Step-by-Step Guide and Tips

    Please, how can I solve this? ∫ cos x ln x dx I get this: ln x sin x - ∫sin x/x dx but how do I continue from here? Thanks in advance...
  6. R

    Does cos + sin always equal 0?

    does cos + sin = 0?
  7. R

    What are the period and phase shift in the function y=4sin(3X+Pie/4)-2?

    In the function y=4sin(3X+Pie/4)-2 what determines the period and phase shift? I know that 4=Amplitude The answer in the back of the textbook says Period=2pie/3 Phase Shift=-pie/12
  8. J

    Comparing Maclaurin Series of cos x and sin x

    I have been asked to differentiate cos x and six...the maclaurin series versions... I have done the general and specific terms as shown below. Im not sure if these are correct? thanks General Terms cos x = ∑ (-1)n (x^(2n) / (2n)!) COS x = ∑ (-1)n (x^(2n+1)/ (2n +1) / (2n)!)...
  9. R

    News Will Cheney's Former Adviser Be Convicted in Perjury Trial?

    http://www.nytimes.com/2007/01/15/washington/15trial.html?hp&ex=1168837200&en=3f7306b6311f26d6&ei=5094&partner=homepageAnd for an honest and sobering statement on the integrity of those in the white house:
  10. T

    Solving a Power Series Question: X = yt/2(sinh yt + sin yt/cosh yt - cos yt)

    another power series question... I tried it for awhile but it just got out of hand and the amount of numbers got unbearable. Q. The increase in resistance of strip conductors due to eddy currents at power frequencies is given by : X = yt divided by 2 (sinh yt + sin yt divided by cosh yt -...
  11. T

    Solving Tricky Math Questions: Sinh(1.6) and cos 4t

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  12. D

    Exponential forms of cos and sin

    hi, my question is from Modern Engineering Mathematics by Glyn James pg 177 # 17a Using the exponential forms of cos(theta) and sin(theta) given in (3.11a, b), prove the following trigonometric identities: a) sin(x + y) = sin(x)cos(y) + cos(x)sin(y) and 3.11a is: cos(x) = 0.5*[ e^(jx)...
  13. M

    Struggling with Integrating Sine and Cosine?

    I need to find \int \cos^2(x)\sin^7(x)dx I'm not sure what substitution to make
  14. S

    Why does sin converge not the cos?

    thanks......
  15. T

    Proving Sin 6x Cos 4x + Cos 4x sin 2x = Cos 2x tan 8x

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  16. K

    Conjugate of either sin or cos

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  17. M

    Help me understand x and y components, sin cos, etc.

    I'm really having difficulty understanding how to approach problems in my physics class due to 1. never having taken physics before, and 2. having a professor that I cannot understand (english is not his native language, and he speaks very soft/fast). We're now doing tension in class, and I'm...
  18. P

    How Does the Rule a Cos Theta + b Sin Theta Simplify Using Trigonometry?

    Hey, I’ve got a test in one week’s time and was studying through my textbook of geometry and trigonometry. I came across a “rule” which shows how to simplify expressions in the form of a \cos \theta + b \sin \theta but I do not understand how this “rule” works. The simplify rule: a \cos...
  19. U

    What is the mistake in finding the derivative of arccos (4x^2)?

    Yeah, I tried doing this question and just wanted to check if I was correct. Write down the derivative of \arccos (4x^2) and state the domain for which the derivative applies. \mbox{let}\ y = \arccos (4x^2), x\ \epsilon\ [-1, 1], y\ \epsilon\ [0, \pi] \Leftrightarrow x = \frac{\sqrt{\cos...
  20. J

    Trig problem cos (arctan 5/12)

    I have to calculate this without using the calculator. cos (arctan 5/12) So far i draw a triangle and i have the opposite side to be 5, adjacent to be 12, and hypotenuse to be 13. Please suggest me some hint, thanks.
  21. R

    Confused with quadrants with Cos Tan Sin

    Okay can anyone tell me why is this true for restriction of 0 < x < 360 sin(x)=0.15, x = 8.6 and 171.4 cos(x)=-.655 x = 130 and 230 tan(x)=0.75, x = 36.9 and 216.9 I don't see a pattern or rule... please co-ordinate me through the use of graphs if you can my teacher didn't explain it well.
  22. N

    Confusion regarding sin and cos

    Generally I am confused about the use of sin and cos in physics problems. http://img188.imageshack.us/img188/3162/eg2gu.gif The torque about the beam's attachment to the wall is: T * 8 * sin(53) Where T is the tension of the wire. Why is sin the choice and not cos? The...
  23. J

    Help Solving for x: 246.25 sin x - 676.58 cos x = -27768.42

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  24. D

    QM Problems with wavefunction given in sin and cos.

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  25. T

    What is the limit for cos (n pi) and sin (n pi)?

    may i know how to solve [ n^2 cos(n(pi)) ]/ n^2 + 42?? i have divided it by n^2 and get cos(n pi) / (42/n^2) and i can't solve already.pls help what is the limit for cos (n pi) and sin (n pi)??
  26. R

    Unravelling the History of Sin, Tan and Cos

    Can some one tell me how sin, tan and cos came about. I know the equations, but i want to know how it brought about.
  27. B

    Finding Exact Value of Cos A: Solutions Requested

    i and the rest of my class are finding it impossible to find the answer to this part of the question: find the exact value of cos A from secA-cosA=1/2 thanks in advance
  28. I

    So in this case, the derivative of f(x) = cos pi*x is f'(x) = -pi*sin pi*x.

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  29. N

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    Solve the following question. Give your answer in cert form .Thank you . sin-1 x + sin-1 (2x) = pie/3
  30. C

    Solving 3 cos x + 4 = 0 cos x = -4/3

    3 cos x + 4 = 0 cos x = -4/3 How do I solve this? I can't take the arcsine... --- sin (3x - 40) = 0 Is the general solution 73.3 + 120k | k E I?
  31. M

    Proving Triangle Properties with Sin and Cos

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  32. H

    Exploring Traveling Waves: Sin vs. Cos

    For the traveling wave described by the formula y(x,t) = Asin(kx-wt) Then the wave is traveling in the +x direction. True or false? In the physics textbook I have, it describes a traveling wave by y(x,t) = Acos(kx-wt), using COS instead of SIN. Is there a difference between these 2...
  33. I

    Solving Complex Differential Equations: What Are the Steps?

    How do I go about solving x^2y' - cos (2y) = 1 This is unlike anything I've seen so far. Or so I think.
  34. T

    Approximate the integral int (1 - cos x)/x dx using Taylor expansion

    I am supposed to find an approximation of this integral evaluated between the limits 0 and 1 using a taylor expansion for cos x: \int \frac{1 - cos x}{x}dx and given cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!}... i should get a simple series similar to this for...
  35. J

    Prove: (tan y + Cot y) sin y cos y = 1

    Hi, I need to prove: (tan y + Cot y) sin y cos y = 1 I've gotten this far and got stuck: (tany + cos y) sin y cos y changed Cot to reciprical --------sin y (sin y tany + cosy) sin y cos y common demonator --------siny (sin y tany + cos...
  36. M

    Solving 3x Cos = 2x Sin: A Struggling Student's Guide

    solve for cos 3x=sin 2x using complementary angles and all i got alpha=2x. The thing is, if i got alpha 2x from sin inverse, the general formula would be \theta= n \pi + (-1)^n \alpha i get something like, so,...the problem is that i will have x in the general formuala...
  37. T

    Calculate sin and cos using complex numbers

    How can I calculate cos 72° and sin 72° using complex numbers, and without the use of a calculator? I noticed that 5*72° = 360° so (cos 72° + i*sin 72°)^5 = 1. But, I don't quite know how to go from there.. :shy:
  38. B

    Finding Solutions to the Sinh Equation in Complex Numbers

    Hello, can someone please help me out with the following question? Express \sinh \left( {x + yi} \right) in terms of \sinh (x), \cosh(x), \cos(y) and \sin(y). Hence find all solutions z \in C of the equation \sinh(z) = i. I have little idea as to how to do this question. Here is my...
  39. M

    What is the Derivative of cos(sin(x)) and Why is it Different from -sin(sin(x))?

    Hi I'm new here, great forum! On another thread that I can't find I found a message from jamesrc about differentiating cos of sinx that says: df(g(x))/dx = df(g)/dg * dg(x)/dx by the chain rule, this part I get and I thank james for the help the thing that confuses me is why df(g)/dg =...
  40. T

    Cos and Sin Components in Sound Synthesis

    cos and sin cont... Hi thanks for the help guys, I know this is more physics related but psychacoustically is it important wether cos or sin harmonic compoments are used in sound synthesis.
  41. T

    Difference between Cos and sin

    Can anyone tell me the difference btween cos and sin, and tell me when creating waveform why the sin function creates a sawtooth appearance and the cos function does. Any help would be appreiciated. :!) :!)
  42. maverick280857

    Prove that sin 1 > cos ( sin 1 )

    Hi This is a fairly straightforward problem but I want to do it using calculus. Here goes: Prove that \sin 1 > \cos(\sin 1). This is what I've done (I've hardly done much): Let f(x) = \sin(\cos(\sin x) - \cos(\sin(\cos(x))). I also have to show that f(x) = 0 has exactly one solution...
  43. JamesU

    Mastering Math: Understanding Sin and Cos for 7th Graders

    I'm a 7th grade student, but I study more advanced topics. I'm learning about mechanics, but it asks for sin and cos(cosin). I don't know too much about sin and cos, so I was wondering if anyone could explain it. :redface:
  44. T

    What is the solution for this integral?

    Hi, I've been having troubles solving this integral: \int \frac{\sin x.\cos x}{\sin^4 x + x.\cos^4 x} dx Here's how I tried it: t = \cos x dt = - \sin x dx dx = \frac{dt}{-\sin x} x = \arccos t dx = -\frac{1}{\sqrt{1-t^2}} dt -\frac{1}{\sin...
  45. M

    Need to show function {f(x)= x + cos x} has an inverse w/out the use of a graph

    I need to show that the function {f(x)= x + cos x} has an inverse without the use of a graph. I understand that the simplest way to do this is by the using the horizontal line test, but that is not an option in this case. The professor has asked us to think intuitively about this problem, and I...
  46. M

    Need help to show f(x)=x + cos x has an inverse w/out graph

    I need to show that the function {f(x)= x + cos x} has an inverse without the use of a graph. The professor has asked us to think intuitively about this problem, and I am just at a loss. Any help would be most appreciated, as I am trying not to fail this class. Thanks!
  47. P

    The integral of (sin 3t)^5 cos t dt

    Hey folks, HERE GOES... :confused: the integral of (sin 3t)^5 cos t dt i believe you have to use u substitution but i am having trouble getting it set up correctly. Thanks for any input :smile:
  48. 3

    Understanding the Relationship Between Sin and Cos in a Trigonometric Equation

    Given that n = Π[2 – 2cos(kπ/ n)] ... (where Π is the product sign , from k = 1 to n-1 ) as cos2@ = 1 – 2(sin@)^2 then 2 – 2cos(kπ/ n) = 4[sin(kπ/ 2n)]^2 , for k = 1 , 2 , 3 , … n-1 then n = Π[4[sin(kπ/ 2n)]^2] = [4^(n-1)] Π[sin(kπ/ 2n)]^2 but the book then said...
  49. M

    How can I find all w in C such that cos(z + w) = cos z for all z in C?

    Hi, How would I do the following: Find all w in C, such that cos(z + w) = cos z, for all z in C. Of course I would need to use the identity cos z = (e^iz +e^-iz)/2, but I have trouble finding w for all z. Thank you
  50. S

    X(t) = Xo cos (wt) + (Vo/w) sin(wt)

    having trouble showing that X(t) = Xo cos (wt) + (Vo/w) sin(wt) been fiddling with equations for a while and can't see it... thanks!
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