The following equation involves multiple angles Solve the eq

The following equation involves multiple angles. Solve the equation on the interval [0, 2pi). Tan x/3 = root3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Solution

tan(x/3) = sqrt(3)

x/3 = tan^-1(sqrt3)

= pi/3

x = pi

other solution : x/3 = pi+pi/3 = 4pi/3

gives x= 4pi which is out of the interval given [0, 2pi)

So, A : x= pi