cos(x-90)=0
You asked:
Solve the equation \(\cos\left( x - 90 \right) = 0\) for the variable \(x\).
MathBot Answer:
The principal value in \(90 \le x \le \pi + 90\) is \(x \approx 91.570796\)
The real solutions are: \[\begin{aligned}x &= \left\{90 - \frac{57 \pi}{2} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.46460938\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{90 - \frac{55 \pi}{2} + 2 \pi n\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 3.6062021\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]