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What are the most general values of thet...

What are the most general values of `theta` which satisfy the equations
`sintheta = 1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
`npi+(-1)^n(pi)/4,n inI`
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Knowledge Check

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

    A
    `2n pi + pi//4`
    B
    `2n pi + 5pi//4`
    C
    `2n pi + pi//3`
    D
    `2n pi + pi//6`

  • The most general value of theta which satisfy both the equation cos theta =-(1)/(sqrt(2)) and tan theta =1 , is

    A
    `2npi +(5pi)/(4), n in 1`
    B
    `2npi +(pi)/(4), n in 1`
    C
    `2npi +(3pi)/(4), n in 1`
    D
    None of these

  • The most general value of theta which satisfies both the equation in If sin theta = 1 //2 and cos sqrt3 //2, then the general value of theta which satisfies both the equation is

    A
    `2 n pi + pi/3`
    B
    `2n pi + pi/4`
    C
    `2 n pi + pi/6`
    D
    none

    • Similar Questions

    Explore conceptually related problems

    What are the most general values of theta which satisfy the equations tan(x-1) = sqrt3

    What are the most general values of theta which satisfy the equations 2cot^2theta= cosec^2 theta

    Find the mos general values of theta satisfying the equation :sin theta=-1

    Find the general values of theta which satisfy the following equations: i) sintheta=1/sqrt(2) , ii) costheta=1/2 , (iii) tantheta=sqrt(3) , iv) cottheta=1 , v) sectheta=2/sqrt(3) , vi) "cosec"theta=sqrt(2)

    The most general value of theta which satisfies both the equation in If tan theta = sqrt3 and cosec theta = - 2 sqrt3 , the most general value of theta satisfying both equation is

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