Substitute each of the capital letters in bold by a different digit from 0 to 9 to satisfy this system of equations. All the angles are in degrees and none of the numbers can contain any leading zero.

• cos NE + cos DG = cos AE, and:
• sin SH + sin AH = sin NH, and:
• cos RR + cos TS = cos R, and:
• sin ST + sin ET = sin OT.