- #1
maxkor
- 79
- 0
Solve in R $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$.
MHB Solving $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$ in R
- Thread starter maxkor
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SUMMARY
The equation $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$ does not have a solution in the real numbers (R). Participants in the discussion confirmed the absence of solutions and referenced the behavior of the cotangent function, particularly noting that $\cot^2(3\pi)$ approaches infinity. The discussion emphasized the importance of understanding the properties of trigonometric functions when analyzing such equations.
PREREQUISITES- Understanding of trigonometric identities and functions
- Familiarity with the properties of $\tan$ and $\cot$ functions
- Basic knowledge of solving equations in real numbers
- Ability to interpret mathematical expressions and their limits
- Study the properties of trigonometric functions, focusing on $\tan$ and $\cot$
- Learn about the behavior of trigonometric functions at specific angles, such as $\pi$
- Explore methods for proving the non-existence of solutions in trigonometric equations
- Investigate the use of graphing tools to visualize trigonometric functions
Mathematicians, students studying trigonometry, and anyone interested in solving complex trigonometric equations.
- #2
jonah1
- 107
- 0
- #3
maxkor
- 79
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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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