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Substitute each of the capital letters in bold by a different digit from 0 to 9 to satisfy this system of cryptarithmetic equations. All the angles are in degrees and each of the 2-digit numbers contain non 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.

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