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"Bob is about to hang his eight shirts in the wardrobe. He has four different styles of shirt, two identical ones of each particular style. How many different arrangements are possible if no two identical shirts are next to one another?"

5. Show that the roots of (z-1)^4 + (z+1)^4 = 0 are -+icot(pi/8) and +-icot(3pi/8) 6. Show that the roots of(z-1)^6 + (z+1)^6 = 0 are +-icot(pi/12), +-icot(5pi/12), +-i Help would be appreciated. Thanks in advance. Get In before Tim!