Saturday, January 30, 2016

`12i` Write the trigonometric form of the number.

The trigonometric form of a nonzero complex number is


`r*(cos theta +i*sin theta),`


where `rgt0` is the absolute value of a number and `theta in [0,2pi)` is the argument.



For this number the absolute value is obviously 12. Also this number lies on the positive half of the y-axis, therefore `theta=pi/2.`



The answer: `12i=12(cos(pi/2)+i*sin(pi/2)).`

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