# cot

1. ### limit of (cot x / ln x ) when x approaches 0

when i plot the graph using online graph apps . the graph approaches infinity when x approaches 0 , but i gt my ans - 0 , which part is wrong ?
2. ### lim (cot x ) / ln x when x approaches 0

Is my ans correct ? i dont have the ans btw.
3. ### csc cot Power Integral

This might accidently be a repost. \int 8 csc^{4}(x) \cot^{6}(x) dx \int 8[(csc^{2}(x))(\csc^{2}(x)) \cot^{6}(x) dx \int 8[(\cot^{2}{x} + 1)(\csc^{2}(x))(\cot^{6}(x)) dx \int 8[(\cot^{2}(x) + 1)(\csc^{2}(x))(\cot^{6}(x)) dx \int 8[(\cot^{2}(x) + 1))(\cot^{6}(x) (\csc^{2}(x)) dx - rearranged...
4. ### The expression (tan x + cot x)^2 is the same as ____?

The expression (tan x + cot x)^2 is the same as ____? Please help and explain. Thank you!
5. ### If cot θ = 3/4 and the terminal point determined by θ is in quadrant 3, then:

If cot θ = 3/4 and the terminal point determined by θ is in quadrant 3, then:
6. ### Evaluate cot without using a calculator.

Hello. The questions I have is Evaluate cot 45° without using a calculator by using ratios in a reference triangle. I can figure out how to do it with cos, but not cot. I assume I'm missing something really simple on this. If you could please explain to me how I get this answer, I would...
7. ### cot

Calculate . The answer may contain roots but not trigonometric functions. im really bad on the geometry so any1 give me tips?
8. ### Finding the average rate of change for h(t) = cot t

Hello everyone! Here is the problem, I would appreciate some help :) Exercise 2.1.3 Find the average rate of change of the function h(t) = cot(t) over the interval π/6 -> π/2 I don't have cot on my calculator, so before, when I solved exercises like this one I would first calculate...
9. ### solve cosec^2 2x - cot 2x = 1

Hello The question is to solve \csc^2 2x - \cot 2x = 1 I have tried writing \csc^2 2x in terms of \cot^2 2x and \cot 2x in terms of \csc 2x without success. When I caved in and looked at the mark scheme it says to using \csc^2 2x \equiv 1 + \cot^2 2x, which I didn't get. Could someone...
10. ### Solving for x with tan and cot

If tan 4(x) = 2cot4(x) , and 0<x<180 (< equals less than or equal to), then x=? The answer is 13.7, 76.3, 103.7, 166.3 (degrees). I graphed the two equations. I graphed tan4x and 2/(tan4x) In the graphs, all of these degree measures do show points of intersection. However, I also see other...
11. ### Derivative of 1/cot

\int{\frac{d{\theta}}{cot{\theta}} The question was to solve the ODE cot{\theta}d{\rho} + {\rho}d{\theta}=0 I was solving using variable separable and got to a point \int{\frac{d{\rho}}{{\rho}} + \int{\frac{d{\theta}}{cot{\theta}} = \int{0}
12. ### cot tan help °.

Hello! I'm new to the forum, and really really happy I found it! I couldn't find an intro section, so thought I'd say hello here :). Now. I understand if someone asks, what is the sin(36°)? But if I have a problem cot(68°36') what does that mean? Does it mean the cot of 68.36°? Or the...
13. ### Help me to solve this 'Cot' fomular

Please help me to solve this cot3a=(cot<3>a - 3cota)/3cot<3>a-1 <> = superscript value I need to prove above formula. Thanks
14. ### Graphing csc and cot functions?

I am having trouble graphing these functions y=cot(1-pi/2) I know the period is pi the phase shift is pi/2 But I cannot understand how to graph it the second function I am having trouble graphing is y=csc(2+pi)-3 I know the period is pi the phase shift is -pi/2 and the vertical shift is -3 But...
15. ### Prove (1+cos x/1+cot x) = tan x

So when I did this the proof I got was -tanx and i can't really see where i went wrong: 1+tanx/1+cotx =tanx (1-cotx/1-cotx) (1+tanx/1+cotx) 1+tanx-cotx-cotxtanx/ 1-cot^2x (1+(sinx/cosx) - (cosx/sinx) - (cosx/sinx)(sinx/cosx)) / 1-(cos^2x/sin^2x) ((sin^2xcosx-...
16. ### Finding the value of the angle theta in radians, knowing sec theta and cot theta

Hi, The question I have is: Given that \sec \theta = -2, \cot \theta = -1/3\sqrt{3} and -\pi < 0 < \pi, find the exact value of the angle \theta in radians. Justify your answer. Is the following along the right lines? \sec\theta=1/cos\theta therefore \cos\theta=1/\sec \theta=-1/2...
17. ### Graph of Cot function

I have done this problem a few times, keep getting different graph from what the book has. Could some one solve this please. Y= -1+1/2cot(2x-3pi) My fist step was to factor out the 2 so, Y=-1+1/2cot2(x-3pi/2). Then I found the Period which was Pi/2. Then I set (x-3pi/2)=0 and (x-3pi/2)=pi/2...
18. ### Finding Sin from cot

If the angle is between 180 and 270 and Cot= 5/6.r x=-6 y=-5 r=sqrt(61) I got -5sqrt(61)/61 since sin is y/r. My friend tells me the answer is -6sqrt(61)/61, because the value for x and y are switched for cotangent and we need to switch them back first. Which one of us is correct?
19. ### Proving Trigonometric Identities

This question seems really easy, but I can't seem to work it out. Prove that: EDITTED: SEE BELOW These are the identities we can use: Cos^2\theta+Sin^2\theta=1 \frac{Sin\theta}{cos\theta}=tan\theta 1+tan^2\theta=sec^2\theta cosec^2\theta=1+cot^2\theta Thanks in advance for...
20. ### tan, cot

Hello, I would be happy if someone showed me how to solve this question a) By using the substitution t= tan 1/2 x prove that cosec x - cot x = tan 1/2 x b) Use this result to show that tan 15 degrees = 2 - sqrt(3) Thanks in advance.