# Inverse Trig Functions + their derivatives

1. Oct 30, 2005

### seiferseph

I really have no idea how to do these 3 questions, my prof didn't teach them at all, and i didn't understand the notes corresponding to them. Any help would be appreciated, thanks!

2. Oct 30, 2005

### Integral

Staff Emeritus
What do you have for the definition of the sin-1(x) ?

3. Oct 30, 2005

### seiferseph

sin-1(x) = 1/sqrt(1-x^2)

4. Oct 30, 2005

### Integral

Staff Emeritus
How about something like, "the angle whose sin is x"?
Also it would be a big help if you would take a few minutes and learn to use the LaTex codes for writing equations,here.

Last edited: Oct 30, 2005
5. Oct 31, 2005

### CarlB

The functions he's asking you to graph are inverse functions, so as long as the range of one matches the domain of the other, they're going to graph like y=x. But he's given you a sufficiently large range that the functions are going to have discontinuities. You're going to get some sort of functions that will look like saw teeth.

If you have a calcuator, you can use this to chart a few dozen points and get to see what is going on. Make sure ou get the values at the points where the functions break right! That means a filled in circle and an empty circle.

As an example, a graph of $$\sqrt(x^2)$$ is the same as a graph of $$|x|$$. The break in this case is at $$x=0$$, and the graph changes direction at that point. Your problems are harder because they are trig, but you're going to get a bunch of straight lines with slopes of +1 and or -1.

Carl