But I don't think we'll go further than ]]>

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θ = arctan (sqrt b / sqrt a),

c = sqrt b/ sin θ OR sqrt a / cos θ = sqrt ( a + b)

but really all we get is sqrt (a + b) = sqrt b / sin [ arctan (sqrt b / sqrt a) ]

But as a substitution identity thats pretty worthless as it only makes it more complicated.

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