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Question

(1+cosπ8)(1+cos3π8)(1+cos5π8)(1+cos7π8) is equal to
  1. 12
  2. π8
  3. 18
  4. 1+222


Solution

The correct option is C 18
(1+cosπ8)(1+cos3π8)(1cos3π8)(1cos3π8)=14(1cosπ4)(1cos3π4)=14(112)=18

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