tanθ=0.270/2.00

asked by guest
on Sep 22, 2024 at 4:25 am



You asked:

Solve the equation \(\tan\left( θ \right) = \frac{0.270}{2.00}\) for the variable \(θ\).

MathBot Answer:

The principal value in \(- \frac{\pi}{2} < θ < \frac{\pi}{2}\) is \(θ \approx 0.13418873\)


The real solutions are: \[\begin{aligned}θ &= \left\{2 \pi n + \arctan{\left(\frac{27}{200} \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 0.13418873\; \middle|\; n \in \mathbb{Z}\right\}\\θ &= \left\{\pi + 2 \pi n + \arctan{\left(\frac{27}{200} \right)}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 3.2757814\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]