By squaring both sides of y=sincos^-1 (x) and using the identity sin^2 x + cos^2 x = 1. Show that y=Sqrt(1-x^2)
I'm not sure how to square an inverse function.
Thannk you
Whenever you have an inverse function, you should give it a name. That helps. Let us call $\displaystyle \cos^{-1} (x)$ as $\displaystyle \theta$. This means $\displaystyle \cos \theta = x$.
Now let us read your question. You know that $\displaystyle y = \sin\cos^{-1} x = \sin \theta$
Now can you write $\displaystyle \sin \theta$ in terms of $\displaystyle \cos \theta$ and finish the problem?
Do not forget to substitute the variable $\displaystyle \theta$ back.