Inverse Trigonometric Functions - Problems with Solutions

A list of problems on inverse trigonometric functions.
Problem 1
Calculate: [tex]sin(2arccos\frac{3}{5}) = ?[/tex]
Problem 2
Calculate: [tex]sin(arcsin\frac{3}{5} + arcsin\frac{8}{17})[/tex]
Problem 3
[tex]tan(arcsin\frac{12}{13}) = ?[/tex]
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