Math, asked by ramyakolekar16june, 1 day ago

-1+i corvert each of the complex number plar form​

Answers

Answered by sandy1816
1

let \:  \:  \: z =  - 1 + i \\  |z|  = r =  \sqrt{2}  \\  \\  \theta =  {tan}^{ - 1}   | - 1|  \\  =    \frac{\pi}{4}    \\  \\since \: the \: poine \: lie \: in \: second \: quadrent\\ amp( z) = \pi -  \theta \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = \pi  -   \frac{\pi}{4}  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  \frac{3\pi}{4}  \\   polar \: form \: is \\  \sqrt{2} ( \cos \frac{3\pi}{4}  + i\sin \frac{3\pi}{4} )

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