# tan

1. ### TAN function

Hello, So, I recently have been struggling with figuring out what the TAN function on my calculator did, and how to use it. I was trying to figure out how to use it, with no success. I finally bit the bullet and looked up what it was on the internet. After reading about it and experimenting, I...
2. ### Tan inverse

1)- if tanC= -0.6687 find C to the nearest degree C? MY ANSWER -33.77064668 OR SHOULD IT BE -33.80 2)- COS 59 = X/36 X = (COS 59)* (36) = 18.5713707 CORRECT?? 3)- sin 25= 34/x x= (sin 25) * (34) = 14.3690209 correct ??? thanks
3. ### Rational Solutions of the tan function in the context of a video game

First of all, I'd like to note that I believe I've already solved the problem I'm about to pose (it just comes down to there being just two rational solutions to the tan function) and as such, am not really in need of help with it. I'm only posting this as a log of a "real-world" application to...
4. ### Sqrt of (tan x)^2

When solving the integral of sqrt(x^2-a^2) where a is a positive integer and letting x = a*sec theta, there is a step of doing the square root of (tan theta)^2. For pi/2 < theta < pi, the square root would be -tan theta. My question is why there is a minus sign before the trigonometric...
5. ### Smallest Asymptote of a tan function

Hi guys. How does one go about finding the smallest asymptote of this function. f(x) = tan(-9x+8 ) where x>=0 (in radians)
6. ### Trigonometric computations.

Can we compute the following trigonometric Equations? Sin(-A-B)= Sin(-A+B)= Cos(-A-B)= Cos(-A+B)= Tan(-A-B)= Tan(-A+B)= Thanks & Regards, Prashant S Akerkar
7. ### Inverse tan differentiation

Can someone help with this Differentiate with respect to x:- Arctan [(1-cosx) / sinx] I've tried (1-cosx) / sin x = 1/sinx - cosx/sinx and d/dx(1/sinx) = -cosx/sin^2x , d/dx(cosx/sinx)=1/sin^2x d/dx tany=sec^2y so if y=Arctan [(1-cosx) / sinx] then dy/dx sec^2y=-cosx/sin^2x +...
8. ### Solving for tan

Hi, I got stuck on a question. I have attached my working. I used the trigo formula, but I still couldn't solve it. Any help is appreciated, thank you!
9. ### sec x - tan x sin x

Hi guys, I solved all the problems in the chapter except this one... I have to write the following in sin and cos terms... \sec \theta-\tan \theta \sin \theta Now, using the various identities, I go for \frac{1}{\cos \theta} - \frac {\sin \theta} {\cos \theta} \sin \theta Which, if I...
10. ### How can I find y' for something with a minus 1 next to tan?

y = $\tan^-1(5x^3)$. Does it start with $\frac{1}{\sec^2}$ $(5x^3)$, so the answer is just $\frac{5x^3}{\sec^2}$?
11. ### Domain and range of restriced tan, cos and sin graphs?

I've been told you need to restrict the domain to find the inverse functions of sin, cos and tan. I am told the following from a source: But it really bothers me because the graphs tell me something different. In case of sin x I can see that the domain on the graph is indeed what they are...

I was reading about the area of regular pentagon and it said that \tan\frac{\pi}{5}=\sqrt{5-2\sqrt{5}}. Where did it come from? Does \tan\frac{\pi}{n} always equal \sqrt{n-2\sqrt{n}}? If yes, what is the proof?
13. ### tan pi/12

Find tan pi/12= t through sin pi/6. Sin pi/6= 2t/ (1+t^2). Solving this equation yields t= 2+/-sq root 3. But tan pi/12 is only 2- sq root 3. My question is why do we exclude 2+ sq root 3? Thank you

find tan18
15. ### tan x = -1 +/- (2)^1/2

$\tan x = -1 \pm \sqrt{2}$ $x = k\pi + \arctan{(-1 \pm \sqrt{2})}$ How do I solve for the exact value of x? I know the correct answers to be $\frac{\pi}{8} and \frac{-3\pi}{8}$, but my tables and unit circle charts does not show $\frac{\pi}{8}$ increments.
16. ### tan and arctan issue

Hi experts: differential equation: dy/dx=(1+y^2)/(1+x^2) Brings: dy/(1+y^2)=dx/(1+x^2) Integrated: arctan y = arctan x + c NOW: why and how can I use the following: tan(a+b)=(tan a + tan b)/(1-tan a*tan b) to solve my equation to the given solution: y= (x+C)/(1-Cx) Note: I saw that...
17. ### tan(pi/7)tan(2pi/7)tan(3pi/7)

find tan(pi/7)tan(2pi/7)tan(3pi/7)
18. ### tan

Prove that tan(3 pi by 11) + 4 sin (2 pi by 11) = root 11
19. ### sum of tan

sum tan x .tan(x+1) from x= 1 to x=1980
20. ### Inverse Tan area problem

Here is the problem. http://gyazo.com/2ed46eeb41a6b0fcfc4a1b54257dff4c I saw an almost identical problem where the instructor used the Inverse Tan function to substitute for 1/X+1 but I am having trouble because my problem is over X + 3 not X + 1 Could I get some guidance...