sin(3Q)=cos(Q-6)
Since the sine and the cosine are co-function angles......we must have that
90 - 3Q = Q - 6 add 3Q and 6 to both sides
96 = 4Q divide both sides by 4
24 = Q
Check
sin (3 * 24) = cos ( 24 - 6)
sin (72) = cos (18) ........and this is true