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tan((11pi)/12)...

`tan((11pi)/12)`

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Which of the following quantities are rational? (a) sin((11pi)/(12))sin((5pi)/(12)) (b) cos e c((9pi)/(10))sec((4pi)/5) (c) sin^4(pi/8)+cos^4(pi/8) (d) (1+cos((2pi)/9))(1+cos((4pi)/9))(1+cos((8pi)/9))

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