samanthavalverde497 samanthavalverde497

21-05-2020
Mathematics

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Find [2(cos240degrees + i sin240degrees)]^4

Find 2cos240degrees i sin240degrees4 class=

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surjithayer10 surjithayer10

21-05-2020

Answer:

B

Step-by-step explanation:

[tex][2(cos240+isin240)]^4\\=[2e^{240 i}]^4\\=2^4[e^{960i}]\\=16(cos960+isin960)\\=16[cos(360 \times 2+240)+i sin(2\times360+240)]\\=16(cos240+isin240)[/tex]

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