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

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

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

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • If 0 le x le pi/2 then

    A
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    B
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    D
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    C
    f increases on `(0, pi//6) uu (pi//2, 5pi//6)`
    D
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