MHB Solving $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$ in R

[maxkor]

Solve in R $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$.

 

[jonah1]

Beer soaked opinion follows.

Solve in R $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$.

No solution.
https://www.desmos.com/calculator/5yxafxidr5

 

[maxkor]

But without desmos etc.

 

[jonah1]

Beer induced reaction follows.

But without desmos etc.

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]

Show that it doesn't have a solution.

 

[solakis1]

isnt it $cot^2(3\pi)=\infty$

 

[maxkor]

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