When doing inverse trigonometric equations on a calculator, only the lowest positive solution is shown. How can I see alternative solutions (specifically ...
When is the Euler line parallel with a triangle's side? I have found that a triangle with angles $45^\circ$ and $\arctan2$ is a case. Is there any ot...
I know for simple inputs, you can just memorize the answer, but what if I wanted to find $\arcsin{0.554}$. My calculator instantly tells me that the answe...
Let $[-1,1] \times [-1,1]$ the unit square, Im thinking in compute the extreme values at the frontier of the unit circle. So I describe each face of the u...
Here the function is $f(x,y)=\frac{y^2}{4}+x^2$. How do we find the direction of a function in which the function neither decreases nor increases at $(x,y...
I know that if I have a function $\sin(arcsin x)$, it's going to be defined on closed interval from $-1$ to $1$. But this is not working when I apply...
I have this form of the axiom of choice: Suppose that C is a collection of nonempty sets. Then thre exists a function $f:C\rightarrow \cup_{A\in C}A$ such...
Why is it that hexadecimal has both F and 0 when F is the 16th character in the sequence? Why is the same true of decimal notation? Doesn't this mean...