Respuesta :
Answer:
Solve: [tex]5\tan x = 5\sqrt{3}[/tex] for [tex]0^{\circ}\leq x\leq 180^{\circ}[/tex]
Divide both sides by 5 we get;
[tex]\frac{5\tan x}{5}=\frac{5\sqrt{3} }{5}[/tex]
Simplify:
[tex]\tan x = \sqrt{3}[/tex]
We know the value of:
[tex]\tan 60^{\circ} = \sqrt{3}[/tex]
then;
[tex]\tan x = \sqrt{3}=\tan 60^{\circ}[/tex]
On comparing both sides we have;
[tex]x = 60^{\circ}[/tex]
Therefore, the value of x is 60 degree.
