TAN A+\COT A=4\] \[\RIGHTARROW \,{{\tan }^{2}}A+{{\cot }^{2}}A+2\,\tan A\,\,\cot A=16\] \[\Rightarrow \,{{\tan }^{2}}A+{{\cot }^{2}}A=14\,\,\Rightarrow \,{{\tan }^{4}}A+{{\cot }^{4}}A+2=196\] \[\Rightarrow \,{{\tan }^{4}}A+{{\cot }^{4}}A=194.\]