arcsin(cos7/6π)+arcsin(sinπ/6)=
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arcsin(cos7/6π)+arcsin(sinπ/6)=arcsin(cos7/6π)+arcsin(sinπ/6)=arcsin(cos7/6π)+arcsin(sinπ/6)=arcsin(
arcsin(cos7/6π)+arcsin(sinπ/6)=
arcsin(cos7/6π)+arcsin(sinπ/6)=
arcsin(cos7/6π)+arcsin(sinπ/6)=
arcsin(cos7/6π)+arcsin(sinπ/6)
=arcsin(-√3/2)+arcsin(1/2)
=-π/3+π/6
=-π/6