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Find the exact value of the expression:
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\[\sin^{-1} (-\sqrt2/2) \] The book says 3pi/4, why is the answer but 5pi/4?
not*
the book is definitely wrong because \(\large sin(\frac{3\pi}{4})=\frac{\sqrt2}{2} \) ...
Sorry the book says -pi/4, but why would it not be something from a different quadrant where the y value is the same?
oh... okay... the range of the inverse sine function is \( (-\frac{\pi}{2}, \frac{\pi}{2}) \)
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oh, so the other ones that correspond get ruled out then?
yes....
thanks!
yw...
wait.. sorry.. the range is \(\ [-\frac{\pi}{2}, \frac{\pi}{2}] \) and NOT \(\ (-\frac{\pi}{2}, \frac{\pi}{2}) \) ...
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