Move a block on an incline by a minimum force

Classical Mechanics Level 3

A block of mass $m$ is resting on a rough inclined plane of an angle of inclination $\alpha$ . The coefficient of static friction between them is $\mu$ . Find the minimum required force to move the block along the incline?

Note: $0<\alpha<\arctan\mu$

mg\sec(\arctan\mu -\alpha)

mg\tan(\arctan\mu -\alpha)

mg\csc(\arctan\mu -2\alpha)

mg\sin(\arctan2\mu -\alpha)

mg\sin(\arctan\mu -\alpha)