tan80+tan55 /1-tan 80tan55=-1
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Rashmi Bajpayee 7 years, 1 month ago
{tex}{{\tan {{80}^ \circ } + \tan {{55}^ \circ }} \over {1 - \tan {{80}^ \circ }.\tan {{55}^ \circ }}} = - 1{/tex}
=> {tex}\tan \left( {{{80}^ \circ } + {{55}^ \circ }} \right) = - 1{/tex}
=> {tex}\tan {135^ \circ } = - 1{/tex}
=> {tex}\tan \left( {{{90}^ \circ } + {{45}^ \circ }} \right) = - 1{/tex}
=> {tex} - \tan {45^ \circ } = - 1{/tex}
=> {tex}-1=-1{/tex}
Hence proved
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