Write the given expression in algebraic form

http://i146.photobucket.com/albums/r...6/problem3.jpg

err algebraic form? (Speechless)

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- Nov 30th 2008, 02:33 PMNeverendingwrite in algebraic form
Write the given expression in algebraic form

http://i146.photobucket.com/albums/r...6/problem3.jpg

err algebraic form? (Speechless) - Nov 30th 2008, 03:03 PMskeeter
let $\displaystyle \theta = \arcsin\left(\frac{x}{2}\right)$

then $\displaystyle \sin{\theta} = \frac{x}{2} = \frac{opposite}{hypotenuse}$

using Pythagoras ...

$\displaystyle adjacent = \sqrt{4 - x^2}$

so ...

$\displaystyle \cot\left[\arcsin\left(\frac{x}{2}\right)\right] = \cot{\theta} = \frac{adjacent}{opposite} = \frac{\sqrt{4-x^2}}{x}$ - Nov 30th 2008, 04:06 PMNeverending
oh that's what it wants me to do.. thanks (Wink)