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if 0ltalphaltbetaltgammaltpi/ 2,then pro...

if `0ltalphaltbetaltgammaltpi/ 2,`then prove that `tanalpha lt (sinalpha+sinbeta+singamma)/ (cosalpha+cosbeta+cosgamma)lt tangamma`

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` :' 0ltalphaltbetaltgammaltpi/2`
`:. sin alphaltsin betagtsin gamma`
and `cosalphagtcosbetagtcosgamma`
So `(sin alphaltsin betagtsin gamma)/( cosalphagtcosbetagtcosgamma),(3singamma)/(3cosgamma)" and "gt(3sinalpha)/(3cosalpha)`
Thus, `tanalphalt(sinalpha+sinbeta+singamma)/(cosalpha+cosbeta+cosgamma)lt tangamma`
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