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Find the solution set of 'x' to (sin x -...

Find the solution set of 'x' to `(sin x -1/2)(x-2)(tan x -sqrt3)ge0` for `x in [0,2x]`

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`sin x=1/2` at `x=pi/6 (5pi)/6`
tan = `sqrt3` at `x=pi/3 (4pi)/3`

`x in [pi/6,pi/3]cup[2,(5pi)/6]cup[(4pi)/3,2pi]`
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