I badly with general answers to trig equations. (Using identities)

[Tyrion101]

I think I understand, so the number of answers varies depending on what function you are using, and I may not understand all of the functions well, however with your info I have figured out that pi/3, and 5pi/3 are the only solutions

 

[symbolipoint]

Just remember, your example was $tan^2(2x)=3$, so after you deal with what is 2x, you want to solve for what is x.

 

[Mark44]

I think I understand, so the number of answers varies depending on what function you are using, and I may not understand all of the functions well, however with your info I have figured out that pi/3, and 5pi/3 are the only solutions

@Tyrion101, no, they are not the only solutions, in fact these aren't even solutions of the original equation, which was $tan^2(2x) = 3$. Unless there is a restricted domain, which you didn't mention, there are an infinite number of solutions.