1 plus ctgx/1 minus ctgx=tgx plus 1/tgx minus 1
You asked:
Solve the equation \(1 + \frac{\cot\left( x \right)}{1} - \cot\left( x \right) = \tan\left( x \right) + \frac{1}{\tan\left( x \right)} - 1\) for the variable \(x\).
MathBot Answer:
The real solutions are: \[\begin{aligned}x &= \left\{\frac{\pi \left(5 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 3.9269908\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\frac{\pi \left(1 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.78539816\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]