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Step-by-step explanation:
Square and add both the equations we get
a^2 cos^2(Q)+b^2 sin^2(Q)+2abcos(Q)sin(Q)+a^2 sin^2(Q)+b^2 cos^2(Q)-2abcos(Q)sin(Q)=m^2+n^2
Thus we get
a^2 +b^2=m^2+n^2
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