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Find the general values of theta which ...

Find the general values of `theta ` which satisfies the equation ` tan theta =-1 and cos theta =(1)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
`2n pi +(7pi)/(4)`
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Knowledge Check

  • The most general value of theta satisfying the equation tan theta =-1 and cos theta = 1/sqrt2 is

    A
    `npi/(7pi)/14`
    B
    `n pi - (7pi)/14`
    C
    `2npi + (7pi)/14`
    D
    none of these

  • The most general value of theta which satisfies both the equation in tan theta = - 1, cows theta = 1/sqrt2 are

    A
    `n pi +(7pi)/4`
    B
    `n pi + (-1)^n (7pi)/4`
    C
    `2n pi + (7pi)/4`
    D
    none

  • The most general value of theta which satisfies both the equation in sin theta = -1/2 and tan theta =1//sqrt3 are

    A
    `2n pi + pi //6`
    B
    `2 n pi + 11 pi//6`
    C
    `2n pi + 7pi//6`
    D
    ` 2 n pi + pi//4`

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    The most general value of theta which satisfies both the equation in sin theta = - 1/2, tan theta = 1/sqrt3 are

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