to unsin you have to do the inverse sin (called asin, arcsin or sin^-1, they all mean the same thing):
sin(x) = 3/√10 [asin
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{3}}}{{\sqrt{{\mathtt{10}}}}}}\right)} = {\mathtt{71.565\: \!051\: \!177\: \!078^{\circ}}}$$
atan(3/sqrt(10))
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{3}}}{{\sqrt{{\mathtt{10}}}}}}\right)} = {\mathtt{43.491\: \!519\: \!345\: \!092^{\circ}}}$$
to unsin you have to do the inverse sin (called asin, arcsin or sin^-1, they all mean the same thing):
sin(x) = 3/√10 [asin
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{3}}}{{\sqrt{{\mathtt{10}}}}}}\right)} = {\mathtt{71.565\: \!051\: \!177\: \!078^{\circ}}}$$