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

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

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: