for all values of x(in degrees),(sin^-1(sin(sin^-1(sin(sin^-1(sin(sin^-1(sin(sin^-1(sinx)))))))))=x is this statement is true or false explain
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Step-by-step explanation:
By definition, arcsin:[−1,1]⟶[−π2,π2] is the inverse of the restriction to [−π2,π2] of the sine function. Therefore, for each x∈[−π2,π2] we have arcsin(sin(x))=x because that's part of the definition of inverse functions.
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