3cotA+cotA=1
You asked:
Solve the equation \(3 \cdot \cot\left( A \right) + \cot\left( A \right) = 1\) for the variable \(A\).
MathBot Answer:
The principal value in \(0 < A < \pi\) is \(A \approx 1.3258177\)
The real solutions are: \[\begin{aligned}A &= \left\{2 \pi n + \arctan{\left(4 \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 1.3258177\; \middle|\; n \in \mathbb{Z}\right\}\\A &= \left\{\pi + 2 \pi n + \arctan{\left(4 \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 4.4674103\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]