# write in algebraic form

• November 30th 2008, 02:33 PM
Neverending
write in algebraic form
Write the given expression in algebraic form

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

err algebraic form? (Speechless)
• November 30th 2008, 03:03 PM
skeeter
let $\theta = \arcsin\left(\frac{x}{2}\right)$

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

using Pythagoras ...

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

so ...

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