8 pts 2 sinz cosxsinx 0 Find all angles in radians that sat

(8 pts) 2 sin(z) cos(x)-sin(x) = 0 Find all angles in radians that satisfy the equation. For each solution enter first the angle solution in increasing order of the angles. (eg. x = /2 + 2km or x-3r / 2 + 2kr etc.) Note: You are not allowed to use decimals in your answer. then the period when 2 or more solutions are available enter them n 2kpi or 2kpi oi/3 or +2kp or +2kpi Noto You can earn nartial credit on this ncohlem

Solution

2 sin x cos x -sin x=0

sin x(2 cos x -1)=0

sin x =0 , 2cos x -1=0

sin x =0 , cos x =1/2

x=pi k , pi/3 + 2k pi, 5pi/3 + 2k pi