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Question

If α=π7 then find the value of (1cosα+2cosαcos2α).

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Solution

1cosα+2cosαcos2α
=2cos2α1+2cosαcosα.cos2α=2cos2α+2cosα1cosα(2cos2α1)
When α=π7 , cosα=cosπ/7=0.9
=2(0.9)2+2(0.9)10.9[(2)(0.9)1]=3.36=16π15

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