Write the complex number in polar form. Express the argument in degrees. 4i

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03-06-2017
Mathematics

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Write the complex number in polar form. Express the argument in degrees. 4i

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mreijepatmat mreijepatmat · Answer 1 · 2017-06-03T04:42:19+02:00

mreijepatmat mreijepatmat

03-06-2017

Write 4i in the following form r(cos Ф + I sin Ф)

Since it's 4i, that means 4 is on the y-axis, So r =4 and Ф =90°

Hence the equation is 4(cos 90° + i sin 90°)

Proof: cos 90° = 0 and sin 90° =1
4[0 + i(1)] = 4i

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