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If cos theta = cos 5pi//4, then theta =...

If `cos theta = cos 5pi//4`, then `theta =`

A

`2n pi pm (pi)/(4)`

B

`2n pi pm (3pi)/(4)`

C

`2n pi pm (5pi)/(4)`

D

`2n pi pm (7pi)/(4)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If cos 2theta + cos 8theta = cos 5theta then theta =

    A
    `(2n+1)(pi)/(4) : n in Z` or `2n pi pm (2pi)/(3) : n in Z`
    B
    `(n pi)/(4) : n in Z` or `n pi pm (pi)/(6) : n in Z`
    C
    `n pi : n in Z` or `(2n+1)(pi)/(9) : n in Z`
    D
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  • 4 cos 6 theta cos 4 theta cos 2 theta =

    A
    `cos 12 theta + cos 8 theta + cos 4 theta + 1`
    B
    `cos 12 theta + cos 8 theta - cos 4 theta + 1`
    C
    `cos 12 theta - cos 8 theta + cos 4 theta +1`
    D
    `cos 12 theta - cos 8 theta - cos 4 theta -1 `

  • If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then theta =

    A
    `(pi)/(7), (5pi)/(7), pi`
    B
    `(pi)/(2), (pi)/(4), (3pi)/(4), (pi)/(6), (5pi)/(6)`
    C
    `(pi)/(8), (3pi)/(8), (5pi)/(8), (7pi)/(8), (pi)/(3), (2pi)/(3)`
    D
    `(2n pi)/(3) : n in Z` or `n pi + (pi)/(4) : n in Z`

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