t = sin^(-1)(y) has domain equal to -1 ≤ y ≤ 1. Or y can be any real number. Or -2 ≤ y ≤ 1/2. Or y ≥ 0.
Added by Timothy R.
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This is because the range of the sine function is -1 ≤ sin(x) ≤ 1, and the inverse function will have the domain corresponding to this range. Show more…
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