How do I evaluate arcsin(sin 3π)?

[cdhotfire]

srry to be a bother but can someone help me on how to do this, it explains it in the book but i don't understand.
Here it is:

arcsin(sin 3(pi))

i would really appreciate ur help, and thxs before hand.

 

[Hurkyl]

Do it one step at a time. To what is sin 3(pi) equal?

 

[cdhotfire]

0 right. Is that the awnser, huh?
I was told it was pi/2.

 

[Tide]

You were told? By whom?

 

[cdhotfire]

a friend he said it was pi/2, i guess he was wrong because i see now way of getting that, well for these problems like the one above i just get trig function inside the para and that's the awnser. Can i make that generalization?

oh, and thxs for the help

 

[BobG]

a friend he said it was pi/2, i guess he was wrong because i see now way of getting that, well for these problems like the one above i just get trig function inside the para and that's the awnser. Can i make that generalization?

oh, and thxs for the help

No. What's the domain for the arcsin function? A function only has one possible y (range) for any given value of x (domain).

0 is not the final answer (the quoted post suggests you know that). Instead you have to find a value within the domain of the arcsin function that has a sine of 0.

The variation is if, instead of asking the arcsine, the question asks for all possible values for $$\theta$$ that have some given value for sine.

 

[cdhotfire]

ooh, ok, thank very much, take care.