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Prove that Sin^(-1)(4/5)+Sin^(-1) 7/25 =...

Prove that `Sin^(-1)(4/5)+Sin^(-1) 7/25 = Sin^(-1) 117/125`.

Answer

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Knowledge Check

  • Sin^(-1)(4/5)-Sin^(-1)(5/13)=

    A
    `Sin^(-1)(56/65)`
    B
    `Sin^(-1)(33/65)`
    C
    `Sin^(-1)(77/85)`
    D
    `Sin^(-1)(3/5)`
  • Sin^(-1)(3/5)+Sin^(-1)(8/17)=

    A
    `Sin^(-1)(56/65)`
    B
    `Sin^(-1)(33/65)`
    C
    `Sin^(-1)(77/85)`
    D
    `Sin^(-1)(3/5)`
  • Sin^(-1)(4/5)+2Tan^(-1)""1/3=

    A
    `pi`
    B
    `pi/2`
    C
    `pi/4`
    D
    `(3pi)/4`
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    Prove that sin^(2)52 1/2-sin^(2)22 1/2 .

    Prove that sin^(-1)"" (4)/(5) + sin^(-1) "" (5)/(13) + sin^(-1)"" ((16)/(25)) = (pi)/(2)

    Sin^(-1)(24/25)+Tan^(-1)(5/12)=

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

    sin^(-1)(4/5)+sin^(-1)(5/13)+sin^(-1)(16/65)=