If costheta = cosalphacosbeta , prove that tan theta+alpha/2tan theta-alpha/2 = tan^2 beta/2

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If `costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-alpha)/(2))` is equal to If `costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-alpha)/(2))` is equal to
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