Question: Using the identities sin(x) = sin(x2) and sin(x) = sin(x), show why the following statements are true. 1. arcsin(sin(x)) = x 2 for all x[3/2,5/2].

Using the identities sin(x) = sin(x2) and sin(x) = sin(x), show why the following statements are true.

1. arcsin(sin(x)) = x 2 for all x[3/2,5/2].

2. arcsin(sin(x)) = x for all x[3/2,/2].

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