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Prove that 2sin^-1(3/5)-Cos^-1""5/13=Cos...

Prove that `2sin^-1(3/5)-Cos^-1""5/13=Cos^-1(323/325)`.

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1) ((323)/(325))`
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Prove that Sin^-1""3/5+Sin^-1""8/17=Cos^-1""36/85

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Knowledge Check

  • Sin^(-1)(3/5)-Cos^(-1)(12/13)=

    A
    `Tan^(-1)(27/11)`
    B
    `Tan^(-1)(16/65)`
    C
    `Sin^(-1)(16/65)`
    D
    `Sin^(-1)(3/5)`

  • sin^(-1)(3/5)+sin^(-1)(5/13)=

    A
    `sin(-1)(63/65)`
    B
    `sin^(-1)(56/65)`
    C
    `sin^(-1)(56/63)`
    D
    `sin^(-1)(16/63)`

  • Cos^(-1)(3/5)+Cos^(-1)(12/13)=

    A
    `Cos^(-1)(16/65)`
    B
    `Cos^(-1)(33/65)`
    C
    `Cos^(-1)(77/85)`
    D
    `Cos^(-1)(12/13)`

    • Similar Questions

    Explore conceptually related problems

    Prove that (ii) sin^(-1)"" (3)/(5) + cos^(-1)""(12)/(13) = cos^(-1)""(33)/(65)

    Prvoe that sin^(-1)""(3)/(5) + cos^(-1) ""(12)/(13) = cos^(-1) ""(33)/(65) .

    Prove that "Sin"^(-1)3/5+"Cos"^(-1)15/17="Sin"^(-1)77/85

    Sin^(-1)(3/5)+Cos^(-1)(5/sqrt34)=

    cos^(-1)(8/17)-cos^(-1)(5/13)=

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