Trigonometric powers?

Geometry Level 1

Evaluate (12sin24)sin24×(12sin66)sin66×(12cos36)cos36×(12cos54)cos54.\large { \begin{aligned} & \left(12 ^{\sin 24 ^\circ}\right)^{\sin 24 ^\circ} \times \left(12 ^{\sin 66 ^\circ}\right)^{\sin 66 ^\circ} \\ & \times \left(12 ^{\cos 36 ^\circ}\right)^{\cos 36 ^\circ} \times \left(12 ^{\cos 54 ^\circ}\right)^{\cos 54 ^\circ}. \end{aligned}}

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