SOLUTION: Help very much thanked! Find the exact solution: tan^(2)theta + sqrt(3)tantheta=0 on [0,2pi).

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Question 1154882: Help very much thanked!
Find the exact solution:
tan^(2)theta + sqrt(3)tantheta=0 on [0,2pi).

Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Find the exact solution on [0,2pi):


Agree:

0r


0r


Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.

 +  = 0   ===========>


 = 0.



EITHER  tan(x) = 0  OR  tan(x) +  = 0.



If tan(x) = 0, then there are TWO solutions  x = 0  and  x =   in the given interval.



If tan(x) +  = 0,  then  tan(x) = -  and there are TWO solutions  x =   and  x = .



In all, the given equation has  4 (four, FOUR)  solutions in the given interval.

Solved.


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