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show that cos^(-1)""((4)/(5))+ cos^(-1)...

show that ` cos^(-1)""((4)/(5))+ cos^(-1) ((12)/(13)) =cos^(-1) ""((33)/(65))`

Answer

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Prove that cos^(-1)""4/5+cos^(-1)""12/13=cos^(-1)""33/65

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Knowledge Check

  • sin ^(-1) (3)/(5)+cos ^(-1) (12)/(13)=

    A
    `(pi)/(4)`
    B
    `sin ^(-1) (56)/(65)`
    C
    `(2)/(7)`
    D
    `(pi)/(2)`

  • cos^(-1)""((2)/(sqrt(5))) + tan^(-1)""((1)/(3)) =

    A
    `pi/2`
    B
    `pi/4`
    C
    `tan^(-1)""(2)/(sqrt(5))`
    D
    `tan^(-1)""(1)/(7)` .

  • cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

    A
    `tan^(-1).(2)/(3sqrt(5))`
    B
    `(pi)/(4)`
    C
    `tan^(-1).(1)/(7)`
    D
    `(pi)/(3)`

    • Similar Questions

    Explore conceptually related problems

    If cos ^(-1)((3)/(5))-sin ^(-1)((4)/(5))=cos ^(-1) x, then x=

    tan [sin ^(-1)((3)/(5))-cos ^(-1)(-(4)/(5))]=

    The value of tan (cos ^(-1) (4)/(5)+tan ^(-1) (2)/(3)) is

    cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

    sin((1)/(2)"cos"^(-1)(4)/(5))=

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