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

  • MHB
  • Thread starter maxkor
  • Start date
In summary, to solve the equation <code>tan^2x + tan^2{2x} + cot^2{3x} = 1</code> in R, you can use the <code>uniroot</code> function to find the roots within a specified interval. This function is used to find the roots of a given equation and can be used in place of other methods such as <code>optimize</code>, <code>nlm</code>, or <code>fsolve</code>. However, it is important to consider the precision of the results and have a good understanding of the syntax and functions used in R. Other programming languages such as Python or MATLAB can also be used to solve the
  • #1
maxkor
84
0
Solve in R $\tan^2x + \tan^2{2x} + \cot^2{3x} = 1$.
 
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  • #3
But without desmos etc.
 
  • #4
Beer induced reaction follows.
maxkor said:
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?
 
  • #5
Show that it doesn't have a solution.
 
  • #6
isnt it $cot^2(3\pi)=\infty$
 
  • #7
...
 

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

1. What is the first step in solving this equation?

The first step in solving this equation is to rewrite it in terms of sine and cosine using the identity $\tan^2x = \frac{\sin^2x}{\cos^2x}$ and $\cot^2x = \frac{\cos^2x}{\sin^2x}$.

2. Can this equation be solved algebraically?

Yes, this equation can be solved algebraically by using trigonometric identities and solving for the unknown variable.

3. Are there any restrictions on the values of x in this equation?

Yes, there are restrictions on the values of x since the tangent and cotangent functions are undefined at certain values. In this equation, x cannot equal any odd multiple of $\frac{\pi}{2}$ or any multiple of $\pi$.

4. Is there a way to check my solution?

Yes, you can check your solution by plugging it back into the original equation and verifying that it satisfies the equation.

5. Can this equation be solved using a graphing calculator?

Yes, this equation can be solved using a graphing calculator by graphing the left side of the equation and finding the x-intercepts, which represent the solutions.

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