1- csc (a)^(2)= cot (a)^(2)
You asked:
Solve the equation \(1 - {\csc\left( a \right)}^{2} = {\cot\left( a \right)}^{2}\) for the variable \(a\).
MathBot Answer:
The real solutions are: \[\begin{aligned}a &= \left\{\frac{\pi \left(1 + 4 n\right)}{2}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 1.5707963\; \middle|\; n \in \mathbb{Z}\right\}\\a &= \left\{\frac{\pi \left(3 + 4 n\right)}{2}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 4.712389\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]