I'm a bit confused about how the inverse trig functions are differentiated. From a website: We have the following relationship between the inverse si...

I'm currently reading through Roman Vershynin's High Dimensional Probability and working through one of the exercises (7.6.1). Consider a set $T...

Given a circle, but not its center, construct an inscribed equilateral triangle in as few steps as possible. I have a construction that works, but I am re...

I'm having trouble understanding a proof that the Hopf Fibration is a fiber bundle. Here is the paper that I'm working through: hopf fibration H...

I was able to integrate by parts using $u=\sin(x)$ but I'm trying to do it the other way. With $\int \sin\left(x\right) \cos\left(x\right) dx$ $u = \...

Determine the symmetric group G of this infinite hexagonal tiling $\varGamma$. i.e. G={g$\in$ G｜g$\varGamma$=$\varGamma$}. What I know is that G is gener...

The base diameter of a glass is $20$% smaller than the diameter at the rim. The glass is filled to half of the height. Then what is the ratio of empty to ...

I'm making a test, and there's a question: "Which one of the given expresions, takes value which is natural number". $a) \frac{17}{21} + \frac{1...

Is an irrational number times a rational number always irrational? If the rational number is zero, then the result will be rational. So can we conclude th...

I'm finding this idea very frustrating. I need to find the commutator subgroup of $S_3$ (call it $S_3'$) and the commutator subgroup of that com...