1+cos2θ/sin2θ=cotθ
You asked:
Solve the equation \(1 + \frac{\cos\left( 2 θ \right)}{\sin\left( 2 θ \right)} = \cot\left( θ \right)\) for the variable \(θ\).
MathBot Answer:
The real solutions are: \[\begin{aligned}θ &= \left\{\frac{\pi \left(5 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 3.9269908\; \middle|\; n \in \mathbb{Z}\right\}\\θ &= \left\{\frac{\pi \left(1 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.78539816\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]