Question

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​

Answer 1

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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Why is $\arcsin(\sin(x))$