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Solve cos x = 1/2....

Solve `cos x = 1/2.`

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cos x is periodic with period `2 pi`.
So check the solution in `[0, 2pi].`

It is clear from the figure, that `cos x le -(1)/(2)` when `(2pi)/(3) le x le (4pi)/(3)`.
On generalizing the above solution,
`2npi + (2pi)/(3) le x le 2npi + (4pi)/(3) , n in Z`
So the solution to `cos x le -(1)/(2) rArr x in [2npi + (2pi)/(3), 2npi + (4pi)/(3)], n in Z`
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CENGAGE-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercise
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