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**1. Homework Statement**

I understand that y = sin

^{-1}x. However, why is it that when one writes x = sin y, one leaves out the

^{-1}

**2. Homework Equations**

**3. The Attempt at a Solution**

I know that when you invert a trig function, the dependent variable essentially switches from y to x and the independent variable switches from x to y. However, why do you leave out the

^{-1}when you write the inverse sin as x = sin y ?