# Tagged Questions

81 views

### I need to understand $t=\cos(x) \implies x=\arccos(t)$

I need to understand this because I think that I don't know the meaning of arc... $t=\cos(x) \Rightarrow x=\arccos(t)$ ?? Thanks
8 views

### Inverse ease-in-out parametric function

I'm trying to create an inverse ease-in-out function that given values from 0 to 1, produces values from 0 to 1. Opposite of a typical ease-in-out function, though, I want it to start accelerated, ...
28 views

### How to calculate the undefined limit of this trig function?

I have to simplify this function : $$f(x) = (x-2)\tan\left(\frac {\pi}{x}\right)$$ In order to calculate $\lim\limits_{x\to2}f(x)$ since $\lim\limits_{x\to2}(x-2) = 0$ and ...
82 views

### How to solve this limit of a function? ($\cos^3x$)

So I'm having trouble with the following limit: $$\lim_{x\to0}{\frac{1-\cos^3x}{x\,\sin x}}$$ Sorry to bother again, but I was never good at solving limits. Really, I don't know what to do with ...
47 views

### How to solve this limit of a function?

So I'm having trouble with the following limit: $$\lim_{x\to0}{\frac{x\sin x}{1-\cos2x}}$$ Tried to solve it multiple times and failed, so i posted it here... If possible, solve it in steps, so I ...
69 views

33 views

### Total angle within a closed surface…

So I know that the degrees of a triangle add up to 180 degrees. This seems to make sense, on some intuitive level. Now, if you have a closed object constructed of four lines (perhaps most simply a ...
94 views

### Find inverse of this function…

$f(x) = \sin(x)-\cos(x)$ I got to this point: $$f^2(x)=1-\sin(2x)$$ But I have no idea what to do next. Please help me, give me a hint :D
32 views

### Analyse trigonometrical function

Function is $f(x)=\sin^3x+\cos^3x$ I'm confused when I need to solve $f(x)=0$ cause I got different values for the same x. Also need help with $\lim_{x \to \pm \infty} \sin^3x+\cos^3x$ Thanks
125 views

### How does a taylor series of a binomial function equals a trigonometric function? [closed]

Any proof or derivation for the sinx and cosx function would be help. Image taken from http://en.wikipedia.org/wiki/Taylor_series
155 views

### Find the domain and range of $y=\cos^{-1} \sqrt{1-x}$

Find the domain and range of $y=\cos^{-1}\sqrt{1-x}$. Can someone please help me with question above, as to how it's done? Thanks. I am unfamiliar with what you do when there is a square root.
79 views

65 views

### What is the domain of the following function?

Please tell me the domain of $y = \sin^{-1}(\sin(x))$ P.S. I think domain is $(-\infty, \infty)$ But my teacher says it is $(-\frac{\pi}{2}, \frac{\pi}{2})$. He says since $sine$ is a many one ...