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convert Cartesian to polar, answer provided need advice?

how to convert,

1 + j*sqrt(3)

i need to know how to get the pi/3 in the answer,

2*cis*(pi/3)

i can get it in degrees but not in this format. (pi/3)

Answers (3)

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6ggi7kdgaa profile image
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ixwpxomzaa profile image

if you can get the answer in degrees

just multiply it by (pi/180)

That is the transformation.

60*(pi/180) = pi/3

moreover, to convert radians back to degrees multiply by (180/pi)

Reference: math-magic.com/pdf_files/trig/degr...

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dpzk9w0naa profile image

To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):

r = √ (x^2 + y^2)

θ = arctan( y / x )

In this case: x = 1, y = √3 then:

r = √(1 + 3) = √4 = 2

θ = arctan(√3/1)

=> π/3 or 60°