tan $5^\circ$ ✕ tan $30^\circ$ ✕ 4 tan $85^\circ$ is equal to

Question

KollegeApply · Accepted Answer

We have to find tan $5^\circ$xx tan $30^\circ$ xx4 tan $85^\circ$ We know that tan ($90^\circ$-$\theta$)=cot-$\theta$ tan $\theta$ cot -$\theta$=1 tan $30^\circ$=1/sqrt3 so `tan $5^\circ$ xx tan $30^\circ$ xx 4 tan $85^\circ$ = tan ($90^\circ$-$85^\circ$)xx tan $30^\circ$xx4 tan $85^\circ$ = cot $85^\circ$ xx tan $30^\circ$xx4 tan $85^\circ$ = 4 cot $85^\circ$ xx tan $85^\circ$ tan $30^\circ$ = 4xx1xx1/sqrt3 = 4/sqrt3`

AChoose Your Answer