Ashley B.

asked • 05/18/22

Write the complex number in trigonometric form r(cosθ+isinθ)​, with θ in the interval 0 360


    sqrt−2 + sqrt2 i




Mark M.

sqrt -2 is not a real number. Check your post for accuracy.
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05/18/22

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Robert K. answered • 05/18/22

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Here we are in the 2nd quadrant because x is negative and y is positive.


The magnitude is 2 from Pythagorean Theorem.


The angle is 45 deg in the second quadrant which is 135 deg.


2(cos 135 deg + i sin 135 deg) or 2 cis135 deg

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Mark M.

sqrt-2 is not a real part. x is not negative.
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05/18/22

Robert K.

I think that might be a misprint. It would make the problem sqrt(-2) + sqrt2 i or i sqrt2 + i sqrt 2 or 2i sqrt 2 or 2 sqrt 2 cis 90 which would be a very unusual problem So I was actually doing - sqrt 2 + sqrt 2 i which could have been written - sqrt 2 + i sqrt 2
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05/19/22

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