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Math Help - Help with equation

  1. #1
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    Help with equation

    express (tan@ + (tan@)^-1)^-1 in the form asin(n@) for constants a and n


    btw Ive used @ as theta
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  2. #2
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    Quote Originally Posted by Steven.Miles View Post
    express (tan@ + (tan@)^-1)^-1 in the form asin(n@) for constants a and n

    btw Ive used @ as theta
    (\tan{t} + \cot{t})^{-1}

    \frac{1}{\tan{t} + \cot{t}}

    multiply by \frac{\sin{t}\cos{t}}{\sin{t}\cos{t}} ...

    \frac{\sin{t}\cos{t}}{\sin^2{t} + \cos^2{t}}

    \sin{t}\cos{t}

    \frac{1}{2}\sin(2t)
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