I will assume that you want all values of x between 0 and 360 degrees
that means
you want all values of 2x between 0 and 720 degrees
2x=asin(0.1)
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\mathtt{0.1}}\right)} = {\mathtt{5.739\: \!170\: \!477\: \!267^{\circ}}}$$
2x= 5.739 degrees, 365.739 degrees OR 180-5.739=174.261, 174.261+360=534.261
$$x= \quad 2.87^0 \quad 182.87^0 \quad 87.13^0 \quad 267.13^0$$
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+118733 
