x is an acute angle. find the value of x in degrees.\n\\(\\tan(x)=\frac{sqrt{3}}{3}\\)\n\\(x =…
x is an acute angle. find the value of x in degrees.\n\\(\\tan(x)=\frac{sqrt{3}}{3}\\)\n\\(x = square^{circ}\\)
Answer
Explanation:
Step1: Recall inverse - tangent function
We know that if $\tan(x)=a$, then $x = \arctan(a)$. Here $a=\frac{\sqrt{3}}{3}$.
Step2: Evaluate the inverse - tangent
We know that $\tan(30^{\circ})=\frac{\sqrt{3}}{3}$, and since $x$ is an acute angle, $x=\arctan(\frac{\sqrt{3}}{3}) = 30^{\circ}$.
Answer:
$30$