Question

what are the values of the angle in the interval 0<the angle<360 that satisfy the equation tan beta- radical 3=o

Answer 1

tanx - √3 = 0
tanx = √3

At this point it helps to have memorized the trig ratios for the few angles where at least one of them is rational. In this case, recall that

sin60° = √3/2
cos60° = 1/2
tan60° = √3

Answer 2

Then recall that tanx >0 in QI,QIII