cos(pi/8)+cos(3 pi/8)+cos(5 pi/8)+cos(7pi/8)

Use Cosx+cosy =2cosx+y/2 . cosx-y/2

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cos(pi/8)+cos(3 pi/8)+cos(5 pi/8)+cos(7pi/8)=0

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The answer is 1/8 Detailed solution is given in this photo

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Ans=1/8

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