Math, asked by Dragenous375, 10 months ago

Represent z=1+i in polar form

Answers

Answered by ashrut99
1

Answer:

z =  \sqrt{a {}^{2} }  + b ^{2}  \\ z =  \sqrt{2 }  \\ polar \: form \:  \\ r{ \sin( +  \sec( \\  \\ ) )

Step-by-step explanation:

sorry as I am first time using calculator of this aap so sorry

Answered by sehgalp381
10

Answer:

hello

Step-by-step explanation:

z = 1 + i =  \sqrt{2} ( \frac{1}{ \sqrt{2} }  + i \frac{1}{ \sqrt{2} } ) -  -  - (i) \\

let polar form of given equation be z= r cos(a)+ ir sin(a) --------------(2)

Comparing (1) and (2)

we can write,

r cos (a)=

 \sqrt{2}  \times  \frac{1}{ \sqrt{2} }  =  \sqrt{2}  \cos(45)  \\

r sin (a)=

 \sqrt{2}  \times  \frac{1}{ \sqrt{2} }  =  \sqrt{2}  \sin(45)

z =  \sqrt{2} ( \cos(45)  + i \sin(45)

ok marks the brainlist❤☺

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