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Let (sqrt(2)sin alpha)/sqrt(1+cos 2alpha...

Let `(sqrt(2)sin alpha)/sqrt(1+cos 2alpha)=1/7` and `sqrt((1-cos2 beta)/2)=1/sqrt(10)` where `alpha,beta in (0,pi/2)`. Then `tan(alpha+2beta)` is equal to

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If sqrt2(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=1/(sqrt(10)) alpha, beta in (0, pi/2) then tan (alpha + 2 beta) is equal to _________

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Knowledge Check

  • If sin^(4)alpha+4cos^(4)beta+2=4sqrt(2) sin alpha cos beta, alpha, beta in [0, pi] , then cos(alpha+beta)-cos(alpha-beta) is equal to

    A
    0
    B
    `-sqrt(2)`
    C
    `-1`
    D
    `sqrt(2)`

  • If alpha=cos^(-1)((3)/(5)),beta=tan^(-1)((1)/(3)), where 0

    A
    `tan^(-1)((p)/(5sqrt(10)))`
    B
    `cos^(-1)((9)/(5sqrt(10)))`
    C
    `tan^(-1)((9)/(14))`
    D
    `sin^(-1)((9)/(5sqrt(10)))`

  • If sin ( alpha + beta) =1, sin ( alpha - beta) = ( 1)/( 2) , alpha, beta in [ 0, pi //2] , then tan ( alpha + 2 beta ) tan ( 2 alpha + beta) =

    A
    1
    B
    2
    C
    `-1`
    D
    none

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    If sin alpha=(3)/(sqrt(73)),cos beta=(11)/(sqrt(146)) where alpha,beta in[0,(pi)/(2)] then (alpha+beta) is equal to-

    If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) where alpha,beta in[0,(pi)/(2)], then tan(alpha+2 beta)tan(2 alpha+beta) is equal to

    csc^(2)(alpha+beta)-sin^(2)(beta-alpha)+sin^(2)(2 alpha-beta)=cos^(2)(alpha-beta) where alpha,beta in(0,(pi)/(2)), then sin(alpha-beta) is equals

    If sin alpha=(1)/(sqrt(10)) and sin beta=(1)/(sqrt(5)) then prove that alpha+beta=(pi)/(4)

    sin^(4)alpha+4cos^(4)beta+2=4sqrt(2)sin alpha cos beta;alpha,beta in[0,pi], then cos(alpha+beta)-cos(alpha-beta) is equal to :

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