Find the basic solutions in the domain [0,2pi] of the equation tan2 x-3=0

Answer 1

tan2x - 3 = 0

tan 2x = 3

2x = inverse-tangent(3) = 71.565 degrees

x = 35.78252558854....

tangent is positive in first and third quadrants

The solutions are x = 35.782558854... and 215.782558854.....