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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
The value of 4(cos⁡75∘+isin⁡75∘)04(cos⁡30∘+isin⁡30∘)\frac{4\left(\cos 75^{\circ}+i \sin 75^{\circ}\right)}{04\left(\cos 30^{\circ}+i \sin 30^{\circ}\right)} is
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Correct option: A
102(1+i)\frac{10}{\sqrt{2}}(1+i)
Option A (102(1+i)\frac{{10}}{{\sqrt{{2}}}}(1+i)) is correct because after simplifying using trigonometric identities, the expression equals 102(1+i)\frac{{10}}{{\sqrt{{2}}}}(1+i).

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