# Thread: write in algebraic form

1. ## write in algebraic form

Write the given expression in algebraic form

err algebraic form?

2. 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 ...

$\cot\left[\arcsin\left(\frac{x}{2}\right)\right] = \cot{\theta} = \frac{adjacent}{opposite} = \frac{\sqrt{4-x^2}}{x}$

3. oh that's what it wants me to do.. thanks