What is Tan: Definition and 152 Discussions

Tantalum nitride (TaN) is a chemical compound, a nitride of tantalum. There are multiple phases of compounds, stoichimetrically from Ta2N to Ta3N5, including TaN.
As a thin film TaN find use as a diffusion barrier and insulating layer between copper interconnects in the back end of line of computer chips. Tantalum nitrides are also used in thin film resistors.

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  1. S

    What does it mean when it says tan is an odd function

    What criteria decides whether a trig function is an odd or even?
  2. S

    Is Tangent Function Periodic Like Sine and Cosine?

    cos and sin are periodic at 2pi How about tan?
  3. R

    What does tan px and tan qx mean?

    Can somebody explain what does tan px and tan qx mean? The problem is: lim as x goes to 0 tan px / (tan qx) I know its a calculus problem but I want to know what those trigonometric expressions are first
  4. I

    Solving for sin & cos of -1 ∞: Answers & Explanation

    this isn't homework just wanted to know what the values are. tan -1 (infinity) = pi/2 tan-1 (0) = 0 what is sin -1 infinty and cos -1 infinity?
  5. R

    Master the Equation: Solving tan2x + tan x = 0 | Expert Tips & Tricks

    Homework Statement Solve: tan2x + tan x = 0 I have no idea on how to solve this one =/
  6. D

    2g convergence of tan function

    i need to find the values of p so that the following integral converges \int(tan(x))pdx (from 0-\pi/2) the only way i could think of doing this was integration in parts, but i get stuck \int(tan(x))p =\int(sinp(x)/cosp(x)) u=sinpx du=-p*sinp-1(x)cos(x) dv=dx/cosp(x) but i don't...
  7. M

    Inverse Tan Function Range: (-pi/2, pi/2)

    Homework Statement State the range y=inverse tan( 2x) The Attempt at a Solution The original range of inverse tan is ( -pi/2, pi/2) Should tan inverse (2x) have (-pi, pi) as its range?
  8. D

    Solving for x: 0<x<2pi When tan x/2 > -1

    Homework Statement Given 0≤x<2pi, solve tan x/2 > -1 The Attempt at a Solution I thought I would set tan x/2=-1 but I'm not sure. Is the answer 0<x<pi, 3pi/2<x<2pi?
  9. O

    DE equation modeling growth off a tan function

    Homework Statement Data suggests rate of growth of bacteria is proportional to the tangent function evaluated on the amount of bacteria present at time t, up to 1.5 mg. After 1.5 mg, value maintained. pi/6 to pi/3 mg growth in 1 hour. How would I write a DE equation based on this? I'm not...
  10. icystrike

    Sin t = a+b, cos t = a-b, find tan t

    Homework Statement Im wondering if this question could be solved. Given that sin theta =a+b and cos theta =a-b Find tan theta when a/b=3 Solved alr.. the ans is 2. Homework Equations The Attempt at a Solution
  11. D

    Simple differentiatian of tan question

    Homework Statement What is the time rate of change of height after 5.0s?Homework Equations theta = 3t/(2t + 10) adjacent length = 1000 Therefore: opposite length (height) h = 1000 tan (3t/(2t+10)) The Attempt at a Solution I thought it would be simply finding the derivative of the second...
  12. C

    Real quick easy question: hori and vert tan lines

    sorry, i hit enter too soon Homework Statement Y=x(sqrt(4-x^2)) how do I find all pts on the graph where the tan line is vert and hori? Homework Equations Y=x(sqrt(4-x^2)) The Attempt at a Solution y'=(x)(.5(4-x^2)^(-1/2)(-2x))+(sqrt(4-x^2))(1)
  13. P

    How to use tan function in micosoft works spreadsheet

    Homework Statement IN microsoft works spread sheet how do you insert a inverse tan function. that is I know the opposite and adjacent side lengths but want to use the tan function to find the angle of a right angle triangle.Please help ,simple I know but I just can't work out how to do it...
  14. F

    Squeezing f(x) Between g(x) and h(x): Cos, Sin, & Tan

    f(x)=x4 cos(2/x6) g(x) <= f(x) <= h(x) how to get g(x) and h(x) by using the squeeze theorem?? I know is something like this -1 <= x <= 1 But how do i implement it here, and especially to the cos, sin, and tan??
  15. H

    Discover the Arc Tan Sum Formula for Math Help in Just a Few Steps

    Homework Statement Find the sum Arc(tan1/2)+Arc(Tan1/8)+...+Arc(Tan1/2*n^2) Homework Equations nothing The Attempt at a Solution
  16. R

    Simplifying Expression to tan $\frac{\alpha}{2}$

    Homework Statement Prove \frac{sin 2 \alpha}{1+cos 2 \alpha}-\frac{cos \alpha}{1+cos \alpha}=tan \frac{ \alpha}{2} Use half and double angle formulas, I get; The given expression is equal to: \frac{(2 tan \frac{\alpha}{2})(1+tan^{2}...
  17. 1

    Why Is µ Equal to tan θ in Friction Calculations?

    Homework Statement Deriv µs = tan θ For when a block is put on a wooden plank and the plank is lifted at one side. Homework Equations tan = sin/cos Ff = µFn The Attempt at a Solution Ff = µFn -mgsinθ= µ (-mgcosθ) µ =(-mgsinθ) /(-mgcosθ) µ = tan θ Where i am confused is why Ff...
  18. F

    Domain and Derivative of 2[arctan(e^x)]?

    Homework Statement Find the domain and the first derivative of 2[arctan(e^x)] Homework Equations d/dx arctan(x)= 1/(1+x^2) The Attempt at a Solution I'm not sure about the domain... For the derivative: d/dx 2[arctan(e^x)] = 2 [1/(1+e^x)^2] (e^x) But my teacher had the same answer excluding...
  19. R

    How to integrate tan x/ (1 - cos x) ?

    Im doing a differential equation and end up with my last step, which is an integration. I can't seem to remember how to integrate this one int. (tanx)/(1-cosx) hmmm [(sinx)/(cosx)] / (1-cosx) u = cosx du = -sinx dx throw a negative outside the integral...
  20. J

    MacLaurin series, inverse tan of x

    I was asked to find dy/dx of inverse tan of x , which is 1/(1+x^2) Then its says, using that dy/dx ^^^^^ equal to a particular series, find the first 4 terms of inverse tan of x. I'm confused? What is it asking here??
  21. T

    Efficient Trigonometric Identity Solution for Finding tan x

    Homework Statement Find tan x if \dfrac {\sin^2 x}{3} + \dfrac {\cos^2 x}{7} = \dfrac {-\sin(2x) + 1}{10} Homework Equations Trigonometric identities. The Attempt at a Solution I have tried removing the cos squared on the LHS by using \cos^2 x + \sin^2 x = 1 and then...
  22. J

    Astronomy POD: Tan & Blue Galaxies - Why the Color Difference?

    Today's Astronomy picture of the day is visually appealing as well as scientifically revealing. http://antwrp.gsfc.nasa.gov/apod/ap070516.html The text points out that the foreground galaxies are tan in color while the background distorted ones are blue. Does anyone know why this should be...
  23. D

    Mastering Trigonometry: Understanding Sine, Cosine, and Tan Graphs

    I'm having a lot of problems with this topic. I know what the sine, cosine and tan graphs look like. one question i come across fequently is "given that sin 30°, what is a) sin 150° b) sin 330°. - i can work it out on a calculator but the questions on a non-calc paper. I am presuming it's...
  24. A

    L'Hopital's Lim x->0 tan x / x

    I've done this problem but am not comfortable with the answer. Could someone take a quick look? Limx->0 tan x /x Limx->0 sec^2x ==> 0 I'm just not sure this is right...
  25. 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?
  26. D

    Simplifying Summation of Tan Functions

    Find \sum_{1}^{n} \tan(a f_{n} ) \cos x = 1 - {x^2 \over 2!} + {x^4 \over 4!} - \cdots \sin\left( x \right) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots \tan(x) = \sin(x) / \cos(x) There might be equations for the summation of a series of sine functions or an equation...
  27. S

    Limits of Arc Tangent (a) and (b)

    Homework Statement Evalute: a) lim (x->0) (arctan x)/x b) lim (x->1) (arctan(x) - pi/4)/(x-1) Homework Equations Inverse tangent, trig identities. Kline's calculus, which I am teaching myself from, does not have that much detail on limits. The Attempt at a Solution For (a), I...
  28. T

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

    I am trying to prove this equation: Sin 6x Cos 4x + Cos 4x sin 2x = Cos 2x tan 8x Tan 8x does anyone have any idea??
  29. I

    Finding an Integration Factor for (Cos(2y)-Sin (x)) dx-2 Tan (x) Sin (2y) dy = 0

    Hi there i am trying to make this equation look exact. (Cos(2y)-Sin (x)) dx-2 Tan (x) Sin (2y) dy = 0 What I've done so far is take the partial with respect to x and y. So, my M_{y} is equal to -2 Sin (2y)-0 and, my N_{x} is equal to -2(Sec^{2}(x)) Sin (2y) Which makes it...
  30. P

    Another tan and sec integral issue

    Here is another problem that might be related to my last post. These dang sec and tan. Anyway, here goes... \int\frac{x^3}\sqrt{{x^2+1}}\dx Oh man.. above is a feeble attempt to write with the LaTeX language. that was my first attempt and a terrible one at that. Haha.. Sorry about that...
  31. J

    Integral: square root of tan x

    My class, teacher included, cannot seem to figure out the integral of the square root of tan x. Maybe someone here can help? thanks, jeremy
  32. 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.
  33. R

    Finding Exact Value of d tan (π/12)

    Use the compound angle formulas and appropriate angles to find the exact value of each of the following: D. d tan (pi/12) thank you
  34. 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.
  35. L

    Finding Tan without a calculator

    I'm learning physics, and I'm reviewing over the trig part of the chapter. My professor does not allow us to use calculators. I'm looking at the inverse of the trig functions. What I don't understand is : it says that the reciprocal does not equal the inverse. like tan -1 does not equal 1/tan...
  36. N

    Inverse function of sin , cos and tan

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

    Proof of Tan (theta) = 1 + (2M / m)

    In my Physics 231 class (Calculus Based) I was given a homework problem asking me to prove the following equation. It had a picture attached but the equation was: Tan (theta) = 1 + (2M / m) The two (m) represent different masses balanced in equilibrium while hanging with 3 tension forces...
  38. A

    CHECK PLEASE Tan BEHAviour IN TRANSFORMATION

    HOw does y-3=-\tan (-2x+\pi) differ from y=tan(x) y=-\tan [-2 (x+ \frac {\pi} {2} )] +3 rearranged It differs because it has a Horizontal compression by a factor of 1/2 it is reflected in the x and y-axis there is a horizontal translation \frac {\pi} {2} units to the left...
  39. G

    Expansion for Tan x about Pi/2

    Is there an "prettier" way to obtain a taylor series for tan x about pi/2? Currently, I expand sin and cos and do polynomial long division. The typical application of the formula doesn't seem to work because of the singularity about pi/2. Thanks.
  40. Y

    Find X-Intercept of y=atan(b(x-c))+d in Radians

    the tan graph is in the form y=atan(b(x-c))+d how do you determine the "EXACT" x-intercept of this graph in radian form when the d value does not equal 0 and is there a formula for finding the x-intercept when given the equation in the form above using the values of a,b,c and d which control the...
  41. M

    What are the solutions of w=tan z if w doesn't equal +i or -i?

    Hi If w=tan z How would I show that any w not equal to +i or -i, is the image of some z in C, and what are the solutions of w=tan z if w doesn't equal to +i or -i? I can easily show that tan z can never equal +i or -i, but that's not the same thing also. Note: without using the...
  42. N

    Prove tthat tan 50 * tan 60 * tan 70 = tan 80

    hiiiiiiiiiii i am here with a very tough question prove tthat tan 50 * tan 60 * tan 70 = tan 80 cheers abc
  43. M

    Find the exact value of tan 285 deg + cos 75 deg + cot 60 deg

    the question is: find the exact value of tan 285 deg + cos 75 deg + cot 60 deg i tried converting them to radians and got tan 5pi / 12 + cos 5 pi / 12 + cot pi / 3 by "exact value", the question means fractions, not decimals. as far as i know, only the cot part has some special...
  44. 0

    Cos, Tan, and Csc Problem: Evaluating Trigonometric Functions for a Given Theta

    doing a problem but can't figure out the answer: Given the following, evaluate csc(theta): cos(theta) = 1/2 tan(theta) = negative a> 2 b> -2(square root of)3/3 c> 2(square root of)3/3 d> -2 any help?
  45. M

    Finding the Exact Values of tan 165 and tan 285 using sin and cos

    How do I find the exact value of tan 165 and tan 285 I think it has got something to do with sinx tanx = cosx
  46. H

    Can the Numerical Value of Sin or Cos be Derived Without a Calculator?

    Assume you are given tan (pi/6). This means sin (pi/6)/cos (pi/6). But my question is, if you are given sin (pi/6) or cos (pi/6), is it possible to derive the numerical value without using calculator? -Thank you in advance.
  47. 4

    Trigonometry sin cos tan Question

    How do I do this? Thanks.
  48. S

    The Signs of Trigonometric Functions in Quadrant I and II

    I don't understand how they figure these problems out. Give the quadrant in which each of the following points are located, and determine which of the functions are postive and which are negative. (4, 3) Quadrant I; SIN +; COS +; TAN +; CSC +; SEC +; COT +; I understand that I think...
  49. benzun_1999

    Can anyone tell me what is tan 50 in fractions?

    Hi can anyone tell me what is tan 50 in fractions? -benzun
  50. tandoorichicken

    Integral involving sec and tan

    How do I perform this integral? \int \sec^2{3x} \tan^5{3x} \,dx
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