Question: Express (cos^6)*t in terms of sines and cosines multiples of t (Algebra)

Hello! How would I do the following question using the maple program? I am not sure about the syntax. Thank you!

Express (cos^6)*t in terms of cosines and sines of multiples of t for

(cos^6)*t = a*cos(6*t) + b*cos(4*t) + c*cos(2*t) + 5/16

Where a = ?, b = ?, and c = ?



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