Find all angles theta for which tan (theta)= sqrt(3) ?
I need help understanding why the answer is pi/3 +kpi

Question

Find all angles theta for which tan (theta)= sqrt(3)  ?
I need help understanding why the answer is        pi/3 +kpi

anonymous · Answer

weird i would think it would be at 60-240 or pi/3-4pi/3

anonymous · Answer

Oops it was pi/3 +kpi , I guess K is just a constant but how I would get to my answer ?

anonymous · Answer

because tangent is sqrt3 at 60 degrees. 60 degrees is pi/3.
you get this by looking at the unit circle if you dont have it memorized.
you see the y and x value at 60 degrees. and put the y over the x and do math.
of course thats a vague explanation since i assumed you covered this in lecture? do you need more?

anonymous · Answer

Okay I see where you get the pi/3 and yes the unit circle is very familiar, I guess I just don't understand why it would be "+ kpi" also

anonymous · Answer

because the period of tan(x) is pi

anonymous · Answer

Oh okay this makes sense thank you both !!!