Cos x = 5/4
You asked:
Solve the equation \(\cos\left( x \right) = \frac{5}{4}\) for the variable \(x\).
MathBot Answer:
There are no real solutions.
The complex solutions are: \[\begin{aligned}x &= \left\{i \log{\left(2 \right)} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.69314718 i\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{- i \log{\left(2 \right)} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n - 0.69314718 i\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).