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Math Help - write in algebraic form

  1. #1
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    write in algebraic form

    Write the given expression in algebraic form




    err algebraic form?
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  2. #2
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    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}
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  3. #3
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    oh that's what it wants me to do.. thanks
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