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General solution of cosx=(1)/(sqrt(2)) i...

General solution of `cosx=(1)/(sqrt(2))` is

A

`npi+(pi)/(4), ninZ`

B

`2npi+(pi)/(4), ninZ`

C

`2npi-(pi)/(4), ninZ`

D

`2npipm(pi)/(4), ninZ`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • General solution of cos3x=(1)/(sqrt(2)) is

    A
    `(2npi)/(3)pm(pi)/(12), ninZ`
    B
    `(npi)/(3)pm(pi)/(12), ninZ`
    C
    `(2npi)/(3)pm(pi)/(4)`
    D
    `(npi)/(3)pm(pi)/(4), ninZ`

  • General solution of cosx=1 is

    A
    `npi, ninZ`
    B
    `2npi, ninZ`
    C
    `3npi, ninZ`
    D
    `4npi, ninZ`

  • General solution of cosx=(-1)/(2) is

    A
    `2npipm(pi)/(3), ninZ`
    B
    `2npipm(2pi)/(3), ninZ`
    C
    `npipm(2pi)/(3), ninZ`
    D
    `3npipm(4pi)/(3), ninZ`

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