# 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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40. ### MHB Find the greatest possible value of tan B.

Let $A,\,B$ be acute angles such that $\tan B=2015\sin A \cos A-2015\sin^2 A \tan B$. Find the greatest possible value of $\tan B$.

Hey Guys. I'm having a bit of a problem with my solving triangles book. I'm finding the book really easy but there's this one thing that I keep getting wrong. Whenever I'm working with degrees with decimal points my answer aways fluctuates slightly from the real answer. I must be doing something...
42. ### Tan^2x =sec^2x-1 also: tan= sec -1 or am I missing something?

A particular problem with factoring has both of these, one in the denominator and one in the numerator, if it were algebra it would look like: x^2-1/x-1. The trouble is I've forgotten how to simplify this. I'm on taptalk.)
43. ### Convert the domain of the Tan function to interval notation?

Homework Statement Hey guys. So basically I'm doing some Calc I homework and I'm working on the domain of this function: g(x) = √tan(2x+π) Homework Equations Now to determine the domain, I know that the function under the root cannot be negative. The Attempt at a Solution So after...
44. ### What is tan θ in this diagram?

< Moderator Note -- Thread moved from the technical math forums (that's why the HH Template is not shown) > It's supposed to be a simple problem. But I can't for the life of me figure out how to go about it. I managed to find out cos θ using the cosine rule, but it is a very long expression and...
45. ### Understanding the change from cot graph to tan graph

Homework Statement Suppose the function is y = a cot k(x−b) Then (give exact answers; you can type pi for π): a = b = k = Suppose the function is y = a tan k(x−b), where b > 0. Then: a = b = k = The Attempt at a Solution Then (give exact answers; you can type pi for π): a = 4...
46. ### MHB Determining the sin theta, tan theta and cos theta at P (x,y)

Determine the values of sin v, cos v, and tan v at each point P(x, y) on the terminal arm of an angle v in standard position. (b) (3, 4) ( (d) (12, 5) (f) (7, 24) for b I was able to do tan \theta= y/x tan \theta= 4/3 \theta = 53.13 My textbook says I am wrong... doing an online...
47. ### Proving the Validity of Sin, Cos, and Tan Equations in Right Triangles

hello! we know that in every right triangle there are the sin, cos, tan etc equations how do we prove that these equations are valid? eg. how do we prove that the adjacent of an angle divided by the hypotenuse of the triangle is always the same for that given angle? thanks
48. ### Maclaurin series of tan (e^x -1)

Homework Statement for this, my coefficient of x^4 which is 8/4! = 1/3 .. but the ans should be 13/24... can you tell me which part contain mistake? https://i.imgur.com/05NnrdM.jpg https://i.imgur.com/28Q9o51.jpg Homework Equations The Attempt at a Solution
49. ### Sin theta= sin theta tan theta

Problem statement Solve each equation over the domain theta greater than or equal to 0, less than or equal to 2 pi: Sin theta= sin theta tan theta Revelant equations Problem statement I divided it by sin theta to get tan theta equal to 1. Tan theta=1 can occur in the first and third...
50. ### Tan 6x is exactly the same thing as 6 tan x

Just want to verify if I am correct in assuming that tan 6x is exactly the same thing as 6 tan x It's merely a matter of rearranging the variables of algebra's multiplicative identity, am I right?