15))⁵...

November 2021 1 19 Report

Тема: Произведение и частное комплексных чисел, заданных в тригонометрической форме.
Возведите комплексное число в степень:
(3(cos π/15 + i sin π/15))⁵

Answers & Comments

xtoto $z=r*[cos(\phi)+i*sin(\phi)]\\\\
z^n=(r*[cos(\phi)+i*sin(\phi)])^n=r^n*[cos(n\phi)+i*sin(n\phi)]\\\\\\
(3*[cos(\frac{\pi}{15})+i*sin(\frac{\pi}{15})])^5=3^5*[cos(5*\frac{\pi}{15})+i*sin(5*\frac{\pi}{15})]=\\\\
=243*[cos(\frac{\pi}{3})+i*sin(\frac{\pi}{3})].$

2 votes Thanks 1

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Answer

klimenkol21 August 2022 | 0 Ответы

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

Answer

Answers & Comments

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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