Solve cosz=0.5.
You asked:
Solve the equation \(\cos\left( z \right) = 0.5\) for the variable \(z\).
MathBot Answer:
The principal value in \(0 \le z \le \pi\) is \(z \approx 1.0471976\)
The real solutions are: \[\begin{aligned}z &= \left\{\frac{\pi \left(5 + 6 n\right)}{3}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 5.2359878\; \middle|\; n \in \mathbb{Z}\right\}\\z &= \left\{\frac{\pi \left(1 + 6 n\right)}{3}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 1.0471976\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]