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math homework help, finding all the square roots?
so I got the answer but I just need to know how I know that theta is positive or negative. For example in this question it says find all the square roots of -square root 3 minus i and I said a=-square root 3 and b=-1and I got r=2 and used that to find theta. Why is the answer theta = -150 and not 150? is it because of the i ?
1 Answer
- trueproberLv 77 years agoFavorite Answer
Hi maggs, it is only -150 because the point lies in third quadrant. And principal value is 30. ie pi/6
Being in third quadrant the theta would be -180+30. So it has to be -150