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Question

⎢ ⎢ ⎢ ⎢1+cos(π12)+isin(π12)1+cos(π12)isin(π12)⎥ ⎥ ⎥ ⎥72=

A
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Solution

The correct option is B 1
1+cos(π2)+isin(π2)1+cos(π2)isin(π2)=2cos2π24+isinπ24cosπ242cos2π24isinπ24cosπ24
=cosπ4+isinπ4cosπ4isinπ4=cis(π24)cis(π24)=cis(π12)(cis(π12))72=cis6π=1+i(0)=1

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