Come | Mathematics | Page 1

leaden flame Jun 20, 2023, 7:39 PM

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Is there a printing mistake here?

clear oyster Jun 20, 2023, 7:40 PM

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why do you think there is

leaden flame Jun 20, 2023, 7:40 PM

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Isn't pi-x for the 2nd quadrant

clear oyster Jun 20, 2023, 7:40 PM

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here's a graph of sin^-1(sin), pi - x, and that interval

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it's not an error

leaden flame Jun 20, 2023, 7:42 PM

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I don't why it's pi-x

clear oyster Jun 20, 2023, 7:44 PM

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well

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pi - x reflects the angle over pi/2

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which preserves the sine

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so it makes sense

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in the 2nd and 3rd quadrant,

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sin gets the y value

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then sin inverse looks for the angle in the 1st and 4th quadrant that has that y value

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so it reflects over pi/2

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