Question

sin^-1(sin(2pi/3))

Answer 1

Sin^-1(x) is the inverse of sin(x) so sin^-1(sin(2pi/3)) is just 2pi/3. This is an equivalent concept such as sqrt(x^2) (which is just x).

Answer 2

that's what I thought, lol, but I wasn't sure...it seemed so obvious.

Answer 3

Its okay, sometimes the easiest answer is the correct one xD

Answer 4

\[\arcsin{x}:\,[-1.1]\,\rightarrow\,[-\pi/2,\pi/2]\]
\[\arcsin(\sin(2\pi/3))=\arcsin(\sqrt{3}/2)=\pi/3\]

Answer 5

\[\arcsin{(\sin{x})}=x\,\,,\,\,-\frac{\pi}{2}\leq x\leq\frac{\pi}{2}\]