\(P=sin(\pi/2-2 \alpha)+2 cos \dfrac{3\alpha}{2} . cos \dfrac{\alpha}{2}\)
\(P=cos 2 \alpha+2 . 1/2(cos \alpha+ cos 2 \alpha)\)
\(P=2 cos^2 \alpha - 1+cos \alpha+2 cos^2 \alpha-1\)
\(P=4cos^2 \alpha+cos \alpha-2\)
Thay \(cos \alpha=\dfrac{1}{3}\) vào `P` có:
`P=4.(1/3)^2+1/3-2=-11/9`