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Given that sin(2θ)=23 \sin (2\theta) =\frac{2}{3}sin(2θ)=32, the value of
sin6θ+cos6θ{\sin^6 \theta}+{\cos^6 \theta}sin6θ+cos6θ
can be written as ab \frac{a}{b} ba with aaa and bbb coprime positive integers. Find a+b a+ba+b.
This problem is posed by Ryan P.
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