# Recent content by ElectronicTeaCup

1. ### Simplify this term—best approach?

Oh yes, I meant the latter. Sorry for the confusion that it may have lead to.
2. ### Studying Learning mathematics in an interdisciplinary program

It is a tough call, since now I will have to again restart if I am to pick a new course. Other than MIT OCW, I haven't been able to find courses freely available in such an organized manner (notes/text + tests + exams). The MIT ocw course was very tough, and I was very demotivated by how much I...
3. ### Studying Learning mathematics in an interdisciplinary program

Yes, Kline's book only covers single variate calculus. It is supposed to serve as my first step into learning more math.
4. ### Studying Learning mathematics in an interdisciplinary program

Thanks for the reply. The current model we use consists of a system of differential equations, thus the direct motivation towards calculus. Plus, like you said, it is the prerequisite/foundation for other advanced mathematics. But my question is more about my particular method, is it best to...
5. ### Studying Learning mathematics in an interdisciplinary program

Hello everyone! I finished a masters in integrative neuroscience about a year back, which was supposed to have a very strong mathematics tilt. Despite this, and the two semesters of mathematics, I feel that it did not help me out much. I ended up doing my masters thesis in a lab of physicists...
6. ### Simplify this term—best approach?

I'm not sure how to simplify this without spending a lot of time on it. Is there a pattern that I need to weed out?
7. ### I know ##tan 2\theta## but what is ##sin \theta##

Yes, thank you for letting me know. I had issues with a previous thread where I did not give enough information (where I thought I had). Also, since you mention it, I do have a lot of difficulty with identities. I just went back through my notes and realized that I had derived this formula...
8. ### I know ##tan 2\theta## but what is ##sin \theta##

It appears that I needed to use $$\begin{array}{l} \cos ^{2}(\theta)=\frac{1+\cos (2 \theta)}{2} \\ \sin ^{2}(\theta)=\frac{1-\cos (2 \theta)}{2} \end{array}$$ To get the values of cos and sin in the solution. I was not familiar with this formula :nb).
9. ### I know ##tan 2\theta## but what is ##sin \theta##

Thank you for your replies. It seems that in trying to post only the relevant parts of the question, I am missing possibly essential information (that I am not picking up myself). The question in its entirety is: Reduce to standard form and graph the curve whose equation is ##x^{2}+4 x y+4...
10. ### I know ##tan 2\theta## but what is ##sin \theta##

So I get that: $$\sin 2 \theta=-\frac{4}{5}$$ $$\cos 2 \theta=-\frac{3}{5}$$ But what is the next step?
11. ### Tan ##2 \theta=4 /(1-1)##. This means ##2 \theta=90^{\circ}## Why?

Oh right, I wasn't even thinking about infinity, I was just thinking of it as "undefined" Also, is this also correct? ##\begin{array}{l} \cot 2 \theta=0 \\ \frac{\cos 2 \theta}{\sin 2 \theta}=0 \\ \cos 2 \theta=0 \\ 2 \theta=90 \end{array}##
12. ### Tan ##2 \theta=4 /(1-1)##. This means ##2 \theta=90^{\circ}## Why?

One of my solutions had this in one part. Why is this the case?
13. ### Intersection of a tangent of a hyperbola with asymptotes

There wasn't a mistake, just one more step was needed: Is there a method to do this division, and how do you get the intuition to divide it anyway? o_O
14. ### Intersection of a tangent of a hyperbola with asymptotes

Oh I see! Using the answers from WolframAlpha gives me the right results. Now to find that mistake! Thank you all!
15. ### Intersection of a tangent of a hyperbola with asymptotes

Oh yes, the ##x_{1}## is supposed to be squared. I tried averaging them but it became very cumbersome