SEN X= 1/2
You asked:
Solve the equation \(\sin\left( X \right) = \frac{1}{2}\) for the variable \(X\).
MathBot Answer:
The principal value in \(- \frac{\pi}{2} \le X \le \frac{\pi}{2}\) is \(X \approx 0.52359878\)
The real solutions are: \[\begin{aligned}X &= \left\{\frac{\pi \left(5 + 12 n\right)}{6}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 2.6179939\; \middle|\; n \in \mathbb{Z}\right\}\\X &= \left\{\frac{\pi \left(1 + 12 n\right)}{6}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.52359878\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]