Find all values of $x$ between 0 and $2\pi$ for which $\sin x=0.6$.
this is what I found out from yahoo answer site
$\sin^{-1} (0.6) = 0.64$
$\pi-0.64= 2.5$
the answer is right because I used the calculator but I would like to know how to manually solve this question without calculator.
from the comment I find out the using calculator is the best but second question
$\sin x=-0.45$
$\sin^-1 (-0.45) = -0.4667$ by using calculator
but the right answer is $3.61,5.816$
can you show me where did I make mistake?
thx