How to minimize the following function? – math.stackexchange.com

How to minimize the following function? – math.stackexchange.com

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I have following function of $x$ $$f(x)=\max \{\sqrt{a^2+x^2-2ax\cos\left(\frac{\theta}{2}\right)},\sqrt{b^2+x^2-2bx\cos\left(\frac{\theta}{2}\right)}\}$$ where $x>a$ and $b>x$. $\theta$ can be ...

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