I have a basic but rather conceptual question on trigonometry
In this figure how can we find out geometrically that the sine of the angle $\theta$ = $AB /AO$ without using the equation sin (180 - $\theta$) = sin ($\t...
20 Apr 2026 1 READS
Archive: General
Maclaurin expansion of $\arcsin x$
I'm trying to find the first five terms of the Maclaurin expansion of $\arcsin x$, possibly using the fact that $$\arcsin x = \int_0^x \frac{dt}{(1-t...
20 Apr 2026 1 READS
width to height formula for hexagon
Is there a formula to calculate the height (a) of a regular hexagon when you know it's width (b)? Is it possible to adapt this formula to a sum like ...
20 Apr 2026 1 READS
Geometrically speaking, what "is" linear algebra?
I have always thought of linear algebra (LA) as a system for solving linear equations. However, revisiting it after about 7-10 years, I realize that such ...
20 Apr 2026 1 READS
What are the steps to solve this simple algebraic equation?
This is the equation that I use to calculate a percentage margin between cost and sales prices, where $x$ = sales price and $y$ = cost price: \begin{equat...
20 Apr 2026 1 READS
What does proving the Collatz Conjecture entail?
From the get go: i'm not trying to prove the Collatz Conjecture where hundreds of smarter people have failed. I'm just curious. I'm wonderi...
20 Apr 2026 1 READS
Solve $\frac{\cos x}{1+\sin x} + \frac{1+\sin x}{\cos x} = 2$
I am fairly good at solving trig equations yet this one equation has me stumped. I've been trying very hard but was unable to solve it. Can anyone he...
20 Apr 2026 1 READS
Inverse Laplace Transformation of a heaviside function.
I'm working through an example of an inverse laplace transformation: $$\mathscr{L}^{-1}[\frac{e^{-3s}}{s+1}] = u_3(t)e^{-(t-3)}$$ I am having trouble...
20 Apr 2026 1 READS
How to find a basis of an image of a linear transformation?
I apologize for asking a question though there are pretty much questions on math.stackexchange with the same title, but the answers on them are still not ...
20 Apr 2026 1 READS
Why is $y=1/x$ a continuous function but not $y=(1/x)^2$?
I was reading Thomas' calculus which said that $y=1/x$ is a continuous function because it was continuous at every point of its domain(it not being d...
20 Apr 2026 1 READS
