Question

Algebra help???

Write the complex number 1+i in polar form.
A. √3(cos30°+i sin 30°)
B. √2(cos45°+i sin 45°)
C. 2(cos30°+i sin 30°)
D. -√3(cos30°+i sin 30°)

Answer 1

HI!!

Answer 2

you need two numbers \(r\) and \(\theta\)
\(r\) is the easiest, it is \[r=\sqrt{a^2+b^2}=\sqrt{1+1}=\sqrt2\]

Answer 3

then you need \(\theta\) which is easy to find there

Answer 4

since you went to the right one and up one, the angle is \(45^\circ\)

Answer 5

Thank you! Mind to do another for me?

Answer 6

go ahead and ask

Answer 7

Write the complex number -3i in polar form.
A. 3(cos270°+i sin 270°)
B. -3(cos60°+i sin 60°)
C.√3 (cos90°+i sin 90°)
D. √3(cos180°+i sin 180°)

Answer 8

even easier

Answer 9

absolute value is clearly 3, pick the first one since that is the only one with a 3 out front

Answer 10

also it is right
the angle is 270

Answer 11

Thank you c:

Answer 12

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