Find all solutions to the equation tant 3tant in the interv

Find all solutions to the equation tan(t) = 3/tan(t) in the interval 0 lessthanorequalto t lessthanorequalto 2 pi. First estimate the solutions from a graph, then find exact answers (given as fractions, not decimals). Enter your answers as a comma separated list. t =

Solution

tan t=3/tan t

tan²t=3

tan t=+-sqrt3

t=tan^-1(+-sqrt3)

t=pi/3, 2pi/3, 4pi/3, 5pi/3