Answer:
[tex]t=\left(\dfrac{1}{3}\right)\pi[/tex]
Step-by-step explanation:
If |tan(t)|=(√3)
Then:
[tex]t=tan^{-1}\sqrt{3} =\dfrac{\pi}{3} \\t=\left(\dfrac{1}{3}\right)\pi[/tex]
Note that t is in radians.
If you take the inverse trigonometric ratio in degrees, you will get 60 degrees which is still equivalent when converted to radians.