- #1
maxkor
- 79
- 0
Solve in R $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$.
Solving $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$ in R
- Context: MHB
- Thread starter maxkor
- Start date
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Discussion Overview
The discussion revolves around solving the equation $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$ in the real numbers. Participants explore the possibility of finding solutions and the implications of certain values in the equation.
Discussion Character
- Debate/contested
Main Points Raised
- One participant suggests that there is no solution to the equation.
- Another participant questions whether the goal is to demonstrate the absence of a solution or to attempt to solve it despite prior indications of no solutions.
- A participant raises a point about the value of $\cot^2(3\pi)$ being infinite, implying that it may affect the overall equation.
Areas of Agreement / Disagreement
Participants express differing views on whether the equation has a solution, with some asserting that there is no solution while others question the approach to solving it.
Contextual Notes
There are references to using tools like Desmos for visualization, which may influence participants' perceptions of the equation's solvability.
- #2
jonah1
- 107
- 0
- #3
maxkor
- 79
- 0
But without desmos etc.
- #4
jonah1
- 107
- 0
Beer induced reaction follows.
Wouldst thou still attempt to solve it given that you've already had a glimpse that it doesn't have a solution or do you just want to show that it doesn't have a solution?maxkor said:
- #5
maxkor
- 79
- 0
Show that it doesn't have a solution.
- #6
solakis1
- 407
- 0
isnt it $cot^2(3\pi)=\infty$
- #7
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