Simplifying $\cos(\arcsin x)$? [closed]

trigonometry

$$\cos(\arcsin x) = \sqrt{1 - \sin(\arcsin x)^2} = \sqrt{1-x^2}$$

This is the quick and dirty solution, I'll leave you to figure out the intricacies of the sign and the respective domains. Of course, you can simplify the other expression the same way.

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