Hello I need to get the argument of the complex number
z=2+3i
in radians I cant seem to get it in radians?
i get 56.3 degrees is this correct first of all ?
Please
You are correct. In the complex plane you can use an Argand diagram with the horizontal axis being real and the vertical axis being imaginary
To find an answer in radians evaluate $\displaystyle \arctan \left(\frac{3}{2}\right)$ using the radians mode on your calculator
Wolfram says Wolfram's Answer which agrees with my calculator
Thanks I can get 0.9826 ,
The thing thats worrying me is I have to write my answers in polar form in a test tomorrow and all the questions we have done in class, have fancy answers like 2Pi/3 in the polar form
so its ok to write r(cos0.9826 + isin0.9826) ?
thanks
Are you allowed calculators? If not then this becomes a problem. But I truly don't see a way of making 56 degrees into a nice number in radians.
So yes, that is correct.
If your teacher wants W as a polar representation then that is perfectly fine. Unless the question explicitly states "find a nice representation of this in radians" or something to that effect, what you have above is correct.
It's just not pretty :P