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MariettaO [177]
3 years ago
15

Write the complex number 1 +i/1 -i into polar form​

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer:

cos(pi/2) + i sin (pi/2)

Step-by-step explanation:

(1+i)/ (1-i)

Multiply top and bottom by (1+i)

(1+i) (1+i)/ (1-i)(1+i)

Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i

Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2

2i/2 = i

the magnitude is (0^2+1^2) = 1

The angle is tan^-1( 1/0) = pi/2

cos(pi/2) + i sin (pi/2)

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Answer:

3 7/10

Step-by-step explanation:

3 is the whole number 7 is the leftover in the decimal and 10 would represent our denominator

3 7/10



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3 years ago
It is roughly 8100 miles to fly from California to Australia. If it takes the plane 15 hours to reach its destination, how fast
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Answer:

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3 0
3 years ago
Read 2 more answers
For numbers 19 and 20 you have to solve for the missing angle.​
Illusion [34]

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