Question

hey mates plzz solve 6th sum thanx

Answer 1

$\tan( \alpha ) + \cot( \alpha ) = 7$
Squaring both sides
${( \tan( \alpha ) + \cot( \alpha )) }^{2} = {7}^{2} \\ { \tan}^{2} + { \cot }^{2} \alpha + 2 = 49 \\ \\ { \tan}^{2} + { \cot }^{2} \alpha = 47$

Answer 2

look at attachment sis.