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The values of x of the equation 4sin^(4)...

The values of x of the equation `4sin^(4)x + cos^(4)x =1` are

A

`npi`

B

`npi +- sin^(-1) sqrt(2/5)`

C

`(2npi)/3`

D

`2npi +- pi/4`

Text Solution

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The correct Answer is:
A, B
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Knowledge Check

  • The period of the function sin ^(4) x+ cos ^(4) x is -

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

  • The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

    A
    2
    B
    3
    C
    0
    D
    4

  • The period of the function sin^(4)x+cos^(4)x is -

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

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