SOLUTION: write each as an algaebraic expression in terms of u. cos(arcsin u)

SOLUTION: write each as an algaebraic expression in terms of u. cos(arcsin u)

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Question 686820: write each as an algaebraic expression in terms of u.
cos(arcsin u)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Draw a picture to get

Using this picture, we can see that

$\cos(\arcsin u) = \frac{\sqrt{1-u^2}}{1}$

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

Note: Keep in mind that $\LARGE \theta = \arcsin u$ . So this means

$\cos(\arcsin u) = \cos(\theta)$
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