tan 2 theta pi6 1 Solve the equation Identify solutions on

tan (2 theta - pi/6) = 1 Solve the equation. Identify solutions on the interval 0 lessthanorequalto theta lessthanorequalto 2pi.

Solution

let theta = \'x\'

tan(2x - pi/6) =1

2x - pi/6 = arc tan(1)

2x -pi/6 = pi/4 or 2x-pi/6 = 5pi/4

2x = pi/4 +pi/6 or 2x = 5pi/4 +pi/6

2x= 5pi/12 or 2x = 17pi/12

x= 5pi/24 or x= 17pi/24