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In which of the following sets the inequ...

In which of the following sets the inequality `sin^(6) x + cos^(6) x gt 5//8` holds good?

A

`(-pi//8, pi//8)`

B

`(3pi//8, 5pi//8)`

C

`(pi//4, 3pi//4)`

D

`(7pi//8, 9pi//8)`

Text Solution

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The correct Answer is:
A, B, D
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Knowledge Check

  • The range of sin^(6) x + cos^(6) x

    A
    `[ - (1)/(4), (1)/(4)]`
    B
    `[ (1)/(4), (1)/(2)]`
    C
    `[ (1)/(4) , 1]`
    D
    `[ - (1)/(2) , - (1)/(4)]`

  • The period of sin^(6) x + cos^(6) x is

    A
    `(3pi)/(2 ) `
    B
    `(pi)/(2 )`
    C
    `pi`
    D
    `2pi`

  • The minimum value of sin^(6) x + cos^(6) x is

    A
    1
    B
    `3//4`
    C
    `1//4`
    D
    `3//2 `

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