SOLUTION: please help me solve: 4tan^2u-1= tan^2u

Question 622504: please help me solve:
4tan^2u-1= tan^2u
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

Let me change the name of for a little while, to save ink and confusion.

Now I can write the confusing equation as
--> --> -->
Back into trigonometry,

You should know an angle that is a solution.
(You should sine and cosine of 0, 30,45,60, and 90 degrees, or at least have a chart with their exact values handy).
or is a solution.
, , and
(although teachers prefer the equivalent expression because they do not like square roots in denominators).
You also should know that the supplementary angle, or has the opposite tangent:

So those two angles are solutions.
There are many more solutions, because the tangent function has a period of or , so to include all solutions we need to add with defined as an integer to the solutions above.
(I am not going to continue with the degrees, because I'm sure your teacher likes pies better than degrees).
In radians, and putting all solutions in one formula, my solution set is
for all n integers
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