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If tan theta=a/b and 0 to theta lt pi, t...

If `tan theta=a/b` and `0 to theta lt pi`, then the value of `(sqrt(a^(2)+b^(2))/(|a|) sin theta)` is ………..(Assume, `b ne 0, a ne 0, a,b in R`)

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Knowledge Check

  • If sin theta =sqrt(3) cos theta, -pi lt theta lt 0 , then the value of theta is

    A
    `-(5pi)/6`
    B
    `(-4pi)/6`
    C
    `(2pi)/3`
    D
    `(5pi)/6`

  • If a tan theta = b, then a cos 2 theta+ b sin 2 theta =

    A
    a
    B
    b
    C
    `-a`
    D
    `-b`

  • If 4-2sin^@ theta-5cos theta=0 , 0^@ lt theta lt 90^@ , then the value of sin theta + tan theta is:

    A
    `(3sqrt3)/(2)`
    B
    `3sqrt2`
    C
    `(3sqrt2)/(2)`
    D
    `2sqrt3`

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