cos(y)=315
You asked:
Solve the equation \(\cos\left( y \right) = 315\) for the variable \(y\).
MathBot Answer:
There are no real solutions.
The complex solutions are: \[\begin{aligned}y &= \left\{- i \log{\left(315 - 2 \sqrt{24806} \right)} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 6.4457173 i\; \middle|\; n \in \mathbb{Z}\right\}\\y &= \left\{- i \log{\left(315 + 2 \sqrt{24806} \right)} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n - 6.4457173 i\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).