The discussion revolves around understanding trigonometric equations and identities, particularly in the context of solving problems involving tangent functions. Participants express confusion about the application of identities and the manipulation of equations, seeking advice and clarification on these topics.
Participants do not reach a consensus on the best approach to solving trigonometric equations, with multiple viewpoints on the use of identities and substitution methods. Some express confidence in their methods, while others remain uncertain.
Participants mention various identities and definitions, but there is no agreement on a singular method for solving the problems discussed. The conversation reflects a range of understanding and approaches to trigonometric equations.
@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.Tyrion101 said: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