Solve $\sin x=\sqrt{\frac 2 3}$
Suppose I have a simple calculator and I want to find all the solutions of $\sin x=\sqrt{\frac 2 3}$ between $0$ to $\pi$ how can I do that?
I done: $\text{shift } \sin $ of $\sqrt{\frac 2 3}$ and the calculator gave me the answer $0.981895$
but there is another solution that the calculator didn't gave.
If $x$ is the first solution, the other solution is $\pi - x$. You can get this from the unit circle.