Solve 4 tan x + 3 = –1
You asked:
Solve the equation \(4 \cdot \tan\left( x \right) + 3 = -1\) for the variable \(x\).
MathBot Answer:
The principal value in \(- \frac{\pi}{2} < x < \frac{\pi}{2}\) is \(x \approx -0.78539816\)
The real solutions are: \[\begin{aligned}x &= \left\{\frac{\pi \left(3 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 2.3561945\; \middle|\; n \in \mathbb{Z}\right\}\\x &= \left\{\frac{\pi \left(7 + 8 n\right)}{4}\; \middle|\; n \in \mathbb{Z}\right\} \approx \left\{6.2831853 n + 5.4977871\; \middle|\; n \in \mathbb{Z}\right\}\end{aligned}\]