JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

The value of

{\left[ {\sqrt 2 \left\{ {\cos \left( {{{56}^0}15'} \right) + i\sin \left( {{{56}^0}\;15'} \right)} \right\}} \right]^8}

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Correct option: C

16i

Option C (

16i

) is correct because, using De-Moivre's Theorem, the expression simplifies to

16i

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\alpha, \beta

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