Find all exact solutions to the trig equations for x E 0 2

Find all exact solutions to the trig equations for x E [0, 2) : (a) (5pt) tanx3 (b) (5pt) 9. 2 sin(x) = 1

a) given tanx=-sqrt3

x = arctan(-sqt3) = 2pi/3 + pi n

x = 2pi/3 , 5pi/3 , 8pi/3

x= 2pi/3 in [0,2pi]

b) 2sinx = 1

sinx = 1/2

x = arcsin(1/2) = pi/6 + 2pi n

x = pi/6 , 13pi/6 ......

x = pi/6 in [0,2pi ]