Find all solutions to the equation 2 cos theta Squareroot 3

Find all solutions to the equation. 2 cos theta - Squareroot 3 = 0 Write your answer in radians in terms of pi, and use the \"or\" button as necessary. Example: theta = pi/5 + 2k pi, k elementof Z or theta = pi/7 + k pi, k elementof Z theta =

Solution

2cos(theta)-sqrt(3)= 0

2cos(theta) = sqrt(3)

cos(theta) = sqrt(3)/2

cos is positive on 1st and 4th quadrants on 1st revolution

so , theta = pi/6   and theta = 11pi/6

so solution is theta= pi/6 + 2kpi ; k belongs to Z

                 or theta = 11pi/6 +2kpi ; k belongs to Z