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Write each expression in the standard form for a complex number, a + bi. a....

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atrinity | Honors

Posted May 23, 2013 at 7:01 PM via web

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Write each expression in the standard form for a complex number, a + bi.

a. [3(cos(27°)) + isin(27°)]5

b. [2(cos(40°)) + isin(40°)]6

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted May 23, 2013 at 7:47 PM (Answer #1)

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(a) `[3cos(27^@)+isin(27^@)]5`

`=15cos(27^@)+5isin(27^@)`

`~~13.3651+2.27i`

(b) `[2cos(40^@)+isin(40^@)]6`

`=12cos(40^@)+6isin(40^@)`

`~~9.193+3.857i`

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