If tan A + cot A = 4, then {tan ^4}A + {cot ^ | vedclass

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Question

(d) $	an A + \cot A = 4$ 

$ \Rightarrow \,{	an ^2}A + {\cot ^2}A + 2\,	an A\,\,\cot A = 16$

$ \Rightarrow \,{	an ^2}A + {\cot ^2}A = 14

Vedclass · Accepted Answer

$194$

Vedclass · Answer

(d) $	an A + \cot A = 4$ 

$ \Rightarrow \,{	an ^2}A + {\cot ^2}A + 2\,	an A\,\,\cot A = 16$

$ \Rightarrow \,{	an ^2}A + {\cot ^2}A = 14\,\, $

$\Rightarrow \,{	an ^4}A + {\cot ^4}A + 2 = 196$

$ \Rightarrow \,{	an ^4}A + {\cot ^4}A = 194.$

If $\tan A + \cot A = 4,$ then ${\tan ^4}A + {\cot ^4}A$ is equal to

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