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If 0 lt x lt 2 pi and |cos x| le sin x, ...

If `0 lt x lt 2 pi` and `|cos x| le sin x`, then

A

the set of all values of x is `[(pi)/(4),(3pi)/(4)]`

B

the number of solutions that are integral multiple of `(pi)/(4)` is four

C

the sum of the largest and the smallest solution is `pi`

D

the set of all value of x is `x in [(pi)/(2),(pi)/(2)) cup ((pi)/(2),(3pi)/(4)]`

Text Solution

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The correct Answer is:
A, C
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