2.4*cosx/(2.4*sinx+0.2)=1847/965

asked by guest
on Oct 19, 2024 at 7:43 am



You asked:

Solve the equation \(\frac{2.4 \cdot \cos\left( x \right)}{2.4 \cdot \sin\left( x \right) + 0.2} = \frac{1847}{965}\) for the variable \(x\).

MathBot Answer:

The real solutions are: \[\begin{aligned}x &= \left\{2 \pi n + \arctan{\left(\frac{138960}{264121} - \frac{\sqrt{621927887}}{264121} \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.40753343\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\pi + 2 \pi n + \arctan{\left(\frac{138960}{264121} + \frac{\sqrt{621927887}}{264121} \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 3.6969806\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]