Solve `sintheta+sqrt(3)costhetageq1,-pi

Explanation

The given inequation is
`sin theta + sqrt(3) cos theta ge 1, -pi lt theta le pi`
`rArr` `(1)/(2) sin theta + (sqrt(3)//2) cos theta ge (1)/(2)`
`rArr` `cos(theta - (pi)/(6)) ge (1)/(2)`
`rArr` `cos x ge (1)/(2)`, where `x = theta - (pi)/(6)`
Solve the above inequality using graphs.
From the figure,
`-pi//3 le theta - pi//6 le pi//3`
`rArr` `-pi//6 le theta le pi//2`