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cottheta=-sqrt(3) and "cosec"theta=2...

`cottheta=-sqrt(3)` and `"cosec"theta=2`

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`theta=2npi+pi/6`
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tantheta=sqrt(3) and "cosec"theta=2/sqrt(3)

Find the general values of theta from the following equations: i) sintheta=-sqrt(3)/(2) ii) sectheta=-sqrt(2) iii) cottheta=-1/sqrt(3) , iv) "cosec"theta=-2

Knowledge Check

  • If sin theta=(sqrt(3))/(2)" then " ("cosec"theta+cot theta)=?

    A
    `(2+sqrt(3))`
    B
    `2sqrt(3)`
    C
    `sqrt(2)`
    D
    `sqrt(3)`
  • If cot theta=1/(sqrt(3)) then cosec^(2) theta=?

    A
    `4/3`
    B
    `3/4`
    C
    `4/(sqrt(3))`
    D
    `2/(sqrt(3))`
  • If cosec theta - cottheta = (1)/(3) , then cosec theta + cot theta =

    A
    1
    B
    2
    C
    3
    D
    4
  • Similar Questions

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

    Find the general values of theta from the following equations: i) sin3theta=sqrt(3)/2 , ii) cos4theta=1/sqrt(2) iii) tan2theta=sqrt(3) iv) "cosec"3theta=2

    Find the most general value of theta which satisfies both the equations, (i) "sin"theta=-(1)/(2),costheta=-(sqrt(3))/(2) (ii) cosectheta=2,cot theta=-sqrt(3) (iii) cottheta=-(1)/(sqrt(3)),cosec theta=-(2)/(sqrt(3))

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    If cosec theta+cot theta=-(3)/(2) then find cosec theta