Question

Find the exact value of the expression:

Answer 1

\[\sin^{-1} (-\sqrt2/2) \]

The book says 3pi/4, why is the answer but 5pi/4?

Answer 2

not*

Answer 3

the book is definitely wrong because \(\large sin(\frac{3\pi}{4})=\frac{\sqrt2}{2} \) ...

Answer 4

Sorry the book says -pi/4, but why would it not be something from a different quadrant where the y value is the same?

Answer 5

oh... okay...
the range of the inverse sine function is \( (-\frac{\pi}{2}, \frac{\pi}{2}) \)

Answer 6

oh, so the other ones that correspond get ruled out then?

Answer 7

yes....

Answer 8

thanks!

Answer 9

yw...

Answer 10

wait.. sorry.. the range is \(\ [-\frac{\pi}{2}, \frac{\pi}{2}] \) and NOT \(\ (-\frac{\pi}{2}, \frac{\pi}{2}) \) ...

Answer 11

got it