Question

use the exact values are given approximate solutions to three decimal places on the interval (0,2pi).
sin(3x)= -1/2

Answer 1

Answer:

Step-by-step explanation:

sin(3x)= -1/2

general solution :  sin(3x)= sin(-pi/6)

(3x = -pi/6 +2kpi)

              or

( 3x =  pi - (-pi/6) +2k'pi)

x= -pi/18 +2/3 kpi  

            or

x = 7pi/18 +2/3 k'pi

solution in : (0,2pi)

k'=0 :    x = 7pi/18

k' = 1 :   x= 19pi/18

k' = 2 ;  x= 31pi/18

k=0 : x=  -pi/18 refused

k = 1 : continue........