Inverse trig functions

How to do something like arcsin[sin(pi/3)]. Wtf does this even mean

safe

You're taking the inverse of a function, so wouldn't you just be left with the initial value?

It's just $f^{-1} \{ f(x) \}$ isn't it?

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Seems like it, but this doesn't work for something like arcsin[sin(2pi/3)]

How to do something like arcsin[sin(pi/3)]. Wtf does this even mean

safe

How to do something like arcsin[sin(pi/3)]. Wtf does this even mean

safe

Well, you know what sin(pi/3) is because it's a standard angle. And you know what arcsin does to a value.

All you have to do is decide how the answer relates to pi/3 i.e. is it within the range of values for a principal angle.

I'm just unsure about how to draw the quadrants, where the angles go etc for these inverse trig expressions

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Start by writing down what range of angles can be returned by arcsin.

So should i just bang arcsin(sin(pi/3)) in my calculator? I get pi/3

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Well that's certainly one way of answering the question

I'm really not understanding this lol. If anyone could take me through an example with the quadrant method, that would be great.

How would I do arctan(root3)

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I don't get why you're trying to confuse yourself?
Youre aware that arcsin(sin(X)) = X? Where does the quadrant method come into this at all?

Arcsin(x) only returns the principal value.

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What value is he trying to get to though? You can get to the other values from the principle.
Oh right so is he asking for an explanation of how to get to the secondary+ values?

I'm really not understanding this lol. If anyone could take me through an example with the quadrant method, that would be great.

How would I do arctan(root3)

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