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Show that "sin"^(-1) (3)/(5) -"sin"^(...

Show that
`"sin"^(-1) (3)/(5) -"sin"^(-1)(8)/(17) ="cos"^(-1)(84)/(85)`.

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

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

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

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

Evaluate sin("cos"^(-1)(3)/(5))

Evaluate sin[(pi)/(3) -sin^(-1)(-(1)/(2))]

Evaluate the following. sin ("sin"^(-1)(pi)/(4) +"cos"^(-1)(pi)/(4))