Find the general solution to the equation sin(2x)-cos(2x)=0

In Bill Tutte's famous book Graph Theory as I Have Known It he discusses Hassler Whitney's theorem on Hamiltonian cycles in planar graphs, summa...

I think is is 12 choose 3 minus 12, because that is the number of triangles that share a side with the polygon. Is that correct?

How do you find the area of a triangle in a 3 dimensional graph? Is it any different than a regular 2d graph? How would you solve it, if these were your t...

If this has been asked before, please help me find it, I have scoured Math.stackexchange and have found quite similar questions but not exactly what I am ...

I have been trying to apply De morgan's law in Logic gates, and realized I am not quite sure if I can use it on my own if given a random problem, whi...

Consider the sequence defined by $a_1 = \sqrt{2}$, $a_2 = \sqrt{2 + \sqrt{2}}$, so that in general, $a_n = \sqrt{2 + a_{n - 1}}$ for $n > 1$. I know 2 ...

We know that any Abelian group is a $\mathbb{Z}$-module. Is the converse true?

I know that concatenating the empty set to any set yields the empty set. So, $A \circ \varnothing = \varnothing$. Here $A$ is a set of strings and the con...

Consider a parabola $y^2 = 4ax$ , parameterize it as $x=at^2$ and $y=2at$, then it is found that if we have a line segment passing through focus, with eac...