#1**+10 **

If tan^{2}(x) = 1/4 then tan(x) = ±1/2 so x = tan^{-1}(±1/2)

Use atan on the calculator on the home page here to find the values of x (atan is the same as tan^{-1}). This will give you angles in the first and fourth quadrants, but there will also be solutions in the second and third quadrants (obtained by 180° ± x).

.

Alan
Apr 7, 2015

#1**+10 **

Best Answer

If tan^{2}(x) = 1/4 then tan(x) = ±1/2 so x = tan^{-1}(±1/2)

Use atan on the calculator on the home page here to find the values of x (atan is the same as tan^{-1}). This will give you angles in the first and fourth quadrants, but there will also be solutions in the second and third quadrants (obtained by 180° ± x).

.

Alan
Apr 7, 2015