Prove that
`"sin"^(-1)(12)/(13) +"cos"^(-1)(4)/(5) +"tan"^(-1) (63)/(16)=pi`.

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Prove that "sin"^(-1)(5)/(13) +"cos"^(-1)(3)/(5) ="tan"^(-1)(63)/(16) .

Prove that "cos"^(-1) (12)/(13) +"sin"^(-1)(3)/(5) ="sin"^(-1)(56)/(65) .

Prove that "sin"^(-1)(8)/(17) +"sin"^(-1)(3)/(5) ="tan"^(-1)(77)/(36) .

Prove that "sin"^(-1)(4)/(5) +"sin"^(-1)(5)/(13) +"sin"^(-1)(16)/(65)=(pi)/(2) .

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

Prove that "tan"^(-1)(1)/(4) +"tan"^(-1)(2)/(9) =(1)/(2)"tan"^(-1)(4)/(3) .

Prove that "tan"^(-1)(1)/(5) +"tan"^(-1)(1)/(7) +"tan"^(-1)(1)/(3) +"tan"^(-1)(1)/(8) =(pi)/(4) .

Prove that sin^(-1)((8)/(17)) +sin^(-1)((3)/(5)) =cos^(-1)((36)/(85)) .

Prove that "sin"^(-1)(4)/(5) +2"tan"^(-1) (1)/(3)=(pi)/(2) .

Prove that. tan^(-1)((1)/(4)) +tan^(-1)((2)/(9)) =(1)/(2) cos^(-1) ((3)/(5)) .