Mathematics

Question

simplify: f(x,y)= arcsin(sin(x+y))

1 Answer

  •      Just use the definition of arcsin that is given by:

    [tex] \left \{ {{sen \alpha =x} \atop {arcsinx= \alpha }} \right. \\ \\ arcsin(sen \alpha )= \alpha [/tex]
     
         Therefore:

    [tex]f(x,y)=arcsin(sen(x+y)) \\ \boxed {f(x,y)=x+y}[/tex]

    If you notice any mistake in my english, please let me know, because i am not native.

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