Question

find the value of the x​

Answer 1

Answer:

$\tan \left(x\right)=\sqrt{3}-1\quad :\quad \begin{bmatrix}\mathrm{Radians:}\:&\:x=0.63191\dots +\pi n\:\\ \:\mathrm{Degrees:}&\:x=0.63191\dots +180^{\circ \:}n\end{bmatrix}$

Step-by-step explanation:

$\tan \left(x\right)=\sqrt{3}-1$

$\gray{\mathrm{General\:solutions\:for}\:\tan \left(x\right)=\sqrt{3}-1}$

$\gray{\tan \left(x\right)=a\quad \Rightarrow \quad \:x=\arctan \left(a\right)+\pi n}$

$x=\arctan \left(\sqrt{3}-1\right)+\pi n$

$\gray{\mathrm{Show\:solutions\:in\:decimal\:form}}$

$x=0.63191\dots +\pi n$