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If sec theta = sqrt(2) and (3pi)/2 lt th...

If `sec theta = sqrt(2)` and `(3pi)/2 lt theta lt 2pi`, find the value of `(1+tan theta + cosec theta)/(1-cot theta - cosec theta)`.

Answer

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If sec theta=sqrt2, ((3pi)/2) lt theta lt 2pi then find the value of (1+tan theta+cosec theta)/(1+cot theta-cosec theta)

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Knowledge Check

  • If tan theta = 1/(sqrt(11)) and 0 lt theta lt pi/2 , then the value of (cosec^2 theta - sec^2 theta)/(cosec^2 theta + sec^2 theta) is यदि tan theta = 1/(sqrt(11)) और 0 lt theta lt pi/2 है, तो (cosec^2 theta - sec^2 theta)/(cosec^2 theta + sec^2 theta) मान क्या है?

    A
    `3/4`
    B
    `4/5`
    C
    `5/6`
    D
    `6/7`

  • If sin theta =12/13 ,(pi)/(2) lt theta lt pi find the value of sec theta + tan theta

    A
    5
    B
    3
    C
    `-3`
    D
    `-5`

  • If cos theta = (-3)/(5) and pi lt theta lt (3pi)/(2) , then find the value of (sec theta - tan theta)/( cosec theta + cot theta) is-

    A
    6
    B
    8
    C
    `-2`
    D
    `-4`

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    If 5 cos^(2) theta + 1 = 3 sin^(2) theta, 0^(@) lt theta lt 90^(@) , then what is the value of ( tan theta + sec theta)/( cot theta + cosec theta) ?

    If tan theta = 1/(sqrt(11)) and 0 < theta < pi/2 , then the value of ("cosec^2 theta - sec^2 theta)/(cosec^2 theta + sec^2 theta) is

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