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If lim (xto0) (ln cot ((pi)/(4) -beta x)...

If `lim _(xto0) (ln cot ((pi)/(4) -beta x))/( tan alphax)=1,` thetn `(alpha)/(beta)=.....`

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Knowledge Check

  • If lim_(xto0)(log_(e)cot((pi)/4-K_(1)x))/(tanK_(2)x)=1 , then

    A
    `K_(1)=K_(2)`
    B
    `2K_(1)=K_(2)`
    C
    `K_(1)=2K_(2)`
    D
    `K_(1)=4K_(2)`

  • lim_(xto0) (cosec x)^(1// log x) is equal to

    A
    0
    B
    1
    C
    1/e
    D
    none of these

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    [ 7.If 0ltalphaltbetalt(pi)/(2) then [ 1) (tan beta)/(tan alpha)lt(alpha)/(beta), 2) (tan beta)/(tan alpha)gt(alpha)/(beta) 3) (tan alpha)/(tan beta)lt(alpha)/(beta) , 4) none ]]

    lim_(xto0) (sin(alpha+beta)x+sin(alpha-beta)x+sin2alphax)/(cos2betax-cos2alphax).x

    if 2tan beta+cot beta=tan alpha then prove that cot beta=2tan(alpha-beta)

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