Find the polar coordinates of r and θ for the complex number 2 + 5i.

asked Apr 17, 2024 107k views

2 votes

by Jkfe

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5 votes

Answer:

( √(29) , arctan( (5)/(2) ))

Explanation:

$r = |2 + 5i| = √((2² + 5²)) = √(29) \\ θ = arctan( (5)/(2) )$

Therefore, the polar coordinates of

$|2 + 5i| \: are \: (r, θ) = \: ( √(29) , arctan( (5)/(2) ))$

Samkass answered Apr 22, 2024

7.9k points

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