15)¹⁰...

March 2022 1 16 Report

Тема: Произведение и частное комплексных чисел, заданных в тригонометрической форме.
Возведите комплексное число в степень:
(cos π/15 + i sin π/15)¹⁰

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NNNLLL54

Verified answer

$z^{n}=r^{n}(cosn\varphi +i\cdot sinn\varphi )\\\\z=cos\frac{\pi}{15}+i\cdot sin\frac{\pi}{15}\; \; \Rightarrow \; \; r=1\; ,\; \; \varphi =\frac{\pi}{15}\\\\z^{10}=1^{10}\cdot (cos\frac{10\pi }{15}+i\cdot sin\frac{10\pi }{15})=cos\frac{2\pi}{3}+i\cdot sin\frac{2\pi }{3}$

2 votes Thanks 1

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klimenkol21 August 2022 | 0 Ответы

osnovaniya trapecii 6sm i 9sm vysota 10sm najti rasstoyaniya ot tochki peresecheniyadea6b551016c04c8383f618917441f22 11246

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Answers & Comments

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2x-2...

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2x-2...

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reshit kvadratnoe uravnenie razlozhiv ego levuyu chast na mnozhiteli 13h5h03fccfdb28b70e12dfa1290621b0bdc92 30754

osnovaniya trapecii 6sm i 9sm vysota 10sm najti rasstoyaniya ot tochki peresecheniya0c50ad104f6e89a3291d70d1402d398b 22936

osnovaniya trapecii 6sm i 9sm vysota 10sm najti rasstoyaniya ot tochki peresecheniyadea6b551016c04c8383f618917441f22 11246

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