[IIT 1984] Find the value of [1+cos(PI/8)]*[1+cos(3*PI/8)]*[1+cos(5*PI/8)]*[1+cos(7*PI/8)].

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if I write 1 as cos 0 then apply cosc+cosd can this be solved. coz answer I get is 1 . what is mistake?

nikhilpant