sin^-1(sin(7pi/6)) ... I got 11pi/6... is that correct?

Question

jdoe0001 · Answer

hmm, what does $\bf \Large sin^{-1}(x)$   mean?

anonymous · Answer

same as arcsin

jdoe0001 · Answer

well, yes, what does arcsin stand for?

anonymous · Answer

The inverse of sin, it's between −π/2 ≤ y ≤ π/2 on the unit circle

jdoe0001 · Answer

well, ok.... what does arcsin take, an angle or just a value? and what does it return? a value or just an angle?

dumbcow · Answer

pretty basic
$$\sin^{-1} (\sin x) = x$$

anonymous · Answer

Okay so @jdoe0001 I think is either -30degrees or -pi/6 depending on the answer to that question. I believe it takes a value, gives and angle so it would be -30degrees? since I'm starting with the value -1/2.

jdoe0001 · Answer

well, as dumbcow said $\bf sin^{-1}(\color{blue}{\textit{some value}}) = \theta\
sin(\theta) = \color{blue}{\textit{some value}}\
sin^{-1}(\color{blue}{sin(\theta)}) = \theta$

dumbcow · Answer

i will add, arcsin can have multiple solutions...so technically your answer of 11pi/6 is still correct
but so is 7pi/6

anonymous · Answer

Right! +2piK right?