Easy yes or no answer sine law question.

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The discussion revolves around the application of the sine law in a specific calculation involving the inverse sine function. It highlights the importance of recognizing angle restrictions, particularly that the arcsin function yields results only between -90 and +90 degrees. The calculation presented involves using the sine of 120 degrees, which is equivalent to the sine of 60 degrees, raising concerns about angles exceeding 90 degrees in triangles. Participants emphasize the need to consider these restrictions when solving triangle problems. Understanding these limitations is crucial for accurate results in trigonometric calculations.
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Homework Statement

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Is it ok to use sine law for this :

A=sIN^-1(40SIN120/65.8)

im not sure if this applies to the sin law angle restriction where the angle can't be over ??degrees?
 
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sin(120 deg.) = sin(60 deg.). The sin-1 (or arcsin) function on a calculator will give you a value between -90 degrees and +90 degrees, so for some triangles with angles larger than 90 deg., you need to take this into account.
 
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