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Question

Prove that sin2π6 + cos 2π3 - tan 2π4 = -12.

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Solution

LHS = sin2π6 + cos 2π3 - tan 2π4

=(12)2+(12)212[sinπ6=12,cosπ3=12 and tanπ4=1]

=(14+141)=12 = RHS.


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