Solving arcsin(sin 3π): Step-by-Step Guide

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Homework Help Overview

The discussion revolves around evaluating the expression arcsin(sin 3π), which involves understanding the properties of the arcsine and sine functions in trigonometry.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the value of sin 3π, with some suggesting it equals 0. There is a debate about whether the result of arcsin(sin 3π) can be generalized to simply the sine value inside the arcsin function. Questions arise regarding the domain of the arcsin function and the implications of that on the final answer.

Discussion Status

The discussion is ongoing, with participants questioning assumptions about the relationship between the sine and arcsine functions. Some guidance has been offered regarding the need to consider the domain of the arcsin function, but no consensus has been reached on the final answer.

Contextual Notes

Participants mention differing opinions on the result, with one suggesting it could be π/2, which raises questions about the correctness of that assertion. The discussion reflects uncertainty about generalizing results from trigonometric functions.

cdhotfire
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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. :smile:
 
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Do it one step at a time. To what is sin 3(pi) equal?
 
0 right. Is that the awnser, huh?
I was told it was pi/2.
 
You were told? By whom?
 
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 :biggrin:
 
cdhotfire said:
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 :biggrin:

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 [tex]\theta[/tex] that have some given value for sine.
 
ooh, ok, thank very much, take care. :smile: :smile:
 

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